Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
26701	Evaluate the Integral	integral from -1 to 2 of x+1 with respect to x	$\int_{- 1}^{2} x + 1 d x$
26702	Evaluate the Integral	integral from 1 to 3 of 2x^4-3x^2 with respect to x	$\int_{1}^{3} 2 x^{4} - 3 x^{2} d x$
26703	Evaluate the Integral	integral from 1 to 3 of x^2-4x+5 with respect to x	$\int_{1}^{3} x^{2} - 4 x + 5 d x$
26704	Evaluate the Integral	integral from 1 to 25 of (x-2)/( square root of x) with respect to x	$\int_{1}^{25} \frac{x - 2}{\sqrt{x}} d x$
26705	Evaluate the Integral	integral from 1 to 3 of (y^5)/5-1/(12y^3) with respect to y	$\int_{1}^{3} \frac{y^{5}}{5} - \frac{1}{12 y^{3}} d y$
26706	Evaluate the Integral	integral from 1 to 3 of 10/(x^3)+3x with respect to x	$\int_{1}^{3} \frac{10}{x^{3}} + 3 x d x$
26707	Evaluate the Integral	integral from 1 to 2 of 3x^2-2x+1 with respect to x	$\int_{1}^{2} 3 x^{2} - 2 x + 1 d x$
26708	Evaluate the Integral	integral from 1 to 2 of 5x^-4-9x^2 with respect to x	$\int_{1}^{2} 5 x^{- 4} - 9 x^{2} d x$
26709	Evaluate the Integral	integral from 1 to 2 of 8x^3+3x^2 with respect to x	$\int_{1}^{2} 8 x^{3} + 3 x^{2} d x$
26710	Evaluate the Integral	integral from 1 to 2 of (4-3x)^8 with respect to x	$\int_{1}^{2} {(4 - 3 x)}^{8} d x$
26711	Evaluate the Integral	integral from 1 to 2 of (5x-7)^8 with respect to x	$\int_{1}^{2} {(5 x - 7)}^{8} d x$
26712	Evaluate the Integral	integral from 1 to 10 of 3x^2+3x+6 with respect to x	$\int_{1}^{10} 3 x^{2} + 3 x + 6 d x$
26713	Evaluate the Integral	integral from 1 to 16 of square root of 3/x with respect to x	$\int_{1}^{16} \sqrt{\frac{3}{x}} d x$
26714	Evaluate the Integral	integral from -1 to 19 of 18x-x^2+19 with respect to x	$\int_{- 1}^{19} 18 x - x^{2} + 19 d x$
26715	Evaluate the Integral	integral from 1 to 1 of x^2 with respect to x	$\int_{1}^{1} x^{2} d x$
26716	Evaluate the Integral	integral from 1 to 10 of 8/x with respect to x	$\int_{1}^{10} \frac{8}{x} d x$
26717	Evaluate the Integral	integral from -1 to 1 of 2u^(1/3)-u^(2/3) with respect to u	$\int_{- 1}^{1} 2 u^{\frac{1}{3}} - u^{\frac{2}{3}} d u$
26718	Evaluate the Integral	integral from -1 to 1 of (9x^3-8x^2)/(4x) with respect to x	$\int_{- 1}^{1} \frac{9 x^{3} - 8 x^{2}}{4 x} d x$
26719	Evaluate the Integral	integral from 1 to 1 of (ab^a)/(x^(a+1)) with respect to x	$\int_{1}^{1} \frac{a b^{a}}{x^{a + 1}} d x$
26720	Evaluate the Integral	integral from -1 to 1 of x^299 with respect to x	$\int_{- 1}^{1} x^{299} d x$
26721	Evaluate the Integral	integral from -1 to 1 of (sin(x))/(1+x^2) with respect to x	$\int_{- 1}^{1} \frac{\sin (x)}{1 + x^{2}} d x$
26722	Evaluate the Integral	integral from 0.4 to 2 of e^x with respect to x	$\int_{0.4}^{2} e^{x} d x$
26723	Evaluate the Integral	integral of 0.12x^2-0.02x+120 with respect to x	$\int 0.12 x^{2} - 0.02 x + 120 d x$
26724	Evaluate the Integral	integral of 0.05e^(0.08x) with respect to x	$\int 0.05 e^{0.08 x} d x$
26725	Evaluate the Integral	integral from 0 to pi of 8e^x+9sin(x) with respect to x	$\int_{0}^{π} 8 e^{x} + 9 \sin (x) d x$
26726	Evaluate the Integral	integral of 8sin(x)^12cos(x) with respect to x	$\int 8 \sin^{12} (x) \cos (x) d x$
26727	Evaluate the Integral	integral from 0 to pi of sec(x)tan(x) with respect to x	$\int_{0}^{π} \sec (x) \tan (x) d x$
26728	Evaluate the Integral	integral from 0 to pi of 8sin(x) with respect to x	$\int_{0}^{π} 8 \sin (x) d x$
26729	Evaluate the Integral	integral from 0 to pi of 7sin(x)+sin(7x) with respect to x	$\int_{0}^{π} 7 \sin (x) + \sin (7 x) d x$
26730	Evaluate the Integral	integral from 0 to pi of 5(5-4cos(t))^(1/4)sin(t) with respect to t	$\int_{0}^{π} 5 {(5 - 4 \cos (t))}^{\frac{1}{4}} \sin (t) d t$
26731	Evaluate the Integral	integral from 0 to pi of 5e^x+3sin(x) with respect to x	$\int_{0}^{π} 5 e^{x} + 3 \sin (x) d x$
26732	Find the Inflection Points	natural log of x^4+27	$\ln (x^{4} + 27)$
26733	Evaluate the Integral	integral from 0 to pi of sin(t)^2cos(t)^4 with respect to t	$\int_{0}^{π} \sin^{2} (t) \cos^{4} (t) d t$
26734	Evaluate the Integral	integral from 0 to pi of sin(2x)^2 with respect to x	$\int_{0}^{π} \sin^{2} (2 x) d x$
26735	Evaluate the Integral	integral from 0 to pi of 2e^x+6sin(x) with respect to x	$\int_{0}^{π} 2 e^{x} + 6 \sin (x) d x$
26736	Evaluate the Integral	integral from 0 to pi of 2cos(2x) with respect to x	$\int_{0}^{π} 2 \cos (2 x) d x$
26737	Evaluate the Integral	integral from 0 to pi of 10sin(x) with respect to x	$\int_{0}^{π} 10 \sin (x) d x$
26738	Evaluate the Integral	integral from 0 to pi of 1-xcos(x) with respect to x	$\int_{0}^{π} 1 - x \cos (x) d x$
26739	Evaluate the Integral	integral from 0 to pi of 2sin(x)^4 with respect to x	$\int_{0}^{π} 2 \sin^{4} (x) d x$
26740	Evaluate the Integral	integral from 1 to e^2 of ( natural log of x)/x with respect to x	$\int_{1}^{e^{2}} \frac{\ln (x)}{x} d x$
26741	Evaluate the Integral	integral from -0.5 to 0.5 of -0.0015x^2+0.0397x+0.26 with respect to x	$\int_{- 0.5}^{0.5} - 0.0015 x^{2} + 0.0397 x + 0.26 d x$
26742	Evaluate the Integral	integral from 1 to square root of 3 of 5arctan(1/x) with respect to x	$\int_{1}^{\sqrt{3}} 5 \arctan (\frac{1}{x}) d x$
26743	Evaluate the Integral	integral from 1 to square root of 3 of -7arctan(1/x) with respect to x	$\int_{1}^{\sqrt{3}} - 7 \arctan (\frac{1}{x}) d x$
26744	Evaluate the Integral	integral from 1 to e^4 of ( natural log of (x)^3)/x with respect to x	$\int_{1}^{e^{4}} \frac{\ln ({(x)}^{3})}{x} d x$
26745	Evaluate the Integral	integral from 1 to square root of 2 of (u^5)/4-1/(u^3) with respect to u	$\int_{1}^{\sqrt{2}} \frac{u^{5}}{4} - \frac{1}{u^{3}} d u$
26746	Evaluate the Integral	integral from 0.5 to 1 of x^2cot(x^3) with respect to x	$\int_{0.5}^{1} x^{2} \cot (x^{3}) d x$
26747	Evaluate the Integral	integral of 0.5 with respect to x	$\int 0.5 d x$
26748	Evaluate the Integral	integral from -0.5 to 0.5 of 4cos(pix)-(12x^2-3) with respect to x	$\int_{- 0.5}^{0.5} 4 \cos (π x) - (12 x^{2} - 3) d x$
26749	Evaluate the Integral	integral from -6 to 6 of square root of 36-x^2 with respect to x	$\int_{- 6}^{6} \sqrt{36 - x^{2}} d x$
26750	Evaluate the Integral	integral from -1 to 0 of y(2y^2-3)^5 with respect to y	$\int_{- 1}^{0} y {(2 y^{2} - 3)}^{5} d y$
26751	Evaluate the Integral	integral from 0 to 2 of 9(1.5)^2 with respect to x	$\int_{0}^{2} 9 {(1.5)}^{2} d x$
26752	Evaluate the Integral	integral from 0 to 2 of natural log of x with respect to x	$\int_{0}^{2} \ln (x) d x$
26753	Evaluate the Integral	integral from 7 to 11 of 1/( square root of x)-10 with respect to x	$\int_{7}^{11} \frac{1}{\sqrt{x}} - 10 d x$
26754	Evaluate the Integral	integral from 0 to 2 of 18(3x+1)^5 with respect to x	$\int_{0}^{2} 18 {(3 x + 1)}^{5} d x$
26755	Find Where Increasing/Decreasing Using Derivatives	sin(x)+cos(x)	$\sin (x) + \cos (x)$
26756	Evaluate the Integral	integral from 0 to 20 of 60-0.08x^2-28 with respect to x	$\int_{0}^{20} 60 - 0.08 x^{2} - 28 d x$
26757	Evaluate the Integral	integral from 0 to 20 of \|x-10\| with respect to x	$\int_{0}^{20} \| x - 10 \| d x$
26758	Evaluate the Integral	integral from 0 to 20 of 1/2x with respect to x	$\int_{0}^{20} \frac{1}{2} x d x$
26759	Evaluate the Integral	integral from 0 to 2250 of 110-0.04x with respect to x	$\int_{0}^{2250} 110 - 0.04 x d x$
26760	Evaluate the Integral	integral from 0 to 200 of 3 fourth root of x with respect to x	$\int_{0}^{200} 3 \sqrt[4]{x} d x$
26761	Evaluate the Integral	integral from 0 to 200 of -0.0006x^2+0.06x+25 with respect to x	$\int_{0}^{200} - 0.0006 x^{2} + 0.06 x + 25 d x$
26762	Evaluate the Integral	integral from 0 to 22 of 1/2x with respect to x	$\int_{0}^{22} \frac{1}{2} x d x$
26763	Evaluate the Integral	integral from 0 to 2 of x cube root of 4+x^2 with respect to x	$\int_{0}^{2} x \sqrt[3]{4 + x^{2}} d x$
26764	Evaluate the Integral	integral from 0 to 2 of x(x^2-1) with respect to x	$\int_{0}^{2} x (x^{2} - 1) d x$
26765	Evaluate the Integral	integral from 0 to 2pi of cos(x)^2 with respect to x	$\int_{0}^{2 π} \cos^{2} (x) d x$
26766	Evaluate the Integral	integral from 0 to 2pi of cos(x)^2sin(x) with respect to x	$\int_{0}^{2 π} \cos^{2} (x) \sin (x) d x$
26767	Evaluate the Integral	integral from 0 to 2pi of 1/2*(3+sin(4x))^2 with respect to x	$\int_{0}^{2 π} \frac{1}{2} \cdot {(3 + \sin (4 x))}^{2} d x$
26768	Evaluate the Integral	integral from 0 to 3 of -x^3+3x^2-2 with respect to x	$\int_{0}^{3} - x^{3} + 3 x^{2} - 2 d x$
26769	Evaluate the Integral	integral from 0 to 2pi of 2-cos(x)-cos(x) with respect to x	$\int_{0}^{2 π} 2 - \cos (x) - \cos (x) d x$
26770	Evaluate the Integral	integral from 0 to 25 of square root of x with respect to x	$\int_{0}^{25} \sqrt{x} d x$
26771	Evaluate the Integral	integral from 0 to 2 of 3r^3 with respect to x	$\int_{0}^{2} 3 r^{3} d x$
26772	Evaluate the Integral	integral from 0 to 2pi of 8cos(2t) with respect to t	$\int_{0}^{2 π} 8 \cos (2 t) d t$
26773	Evaluate the Integral	integral from 0 to 3 of 1/( square root of 9-x^2) with respect to x	$\int_{0}^{3} \frac{1}{\sqrt{9 - x^{2}}} d x$
26774	Evaluate the Integral	integral from 0 to 3 of 1/(9-y^2) with respect to y	$\int_{0}^{3} \frac{1}{9 - y^{2}} d y$
26775	Find Where Undefined/Discontinuous	f(x)=x/(x^2-2x)	$f (x) = \frac{x}{x^{2} - 2 x}$
26776	Evaluate the Integral	integral from 0 to 3 of 6+6y-y^2 with respect to y	$\int_{0}^{3} 6 + 6 y - y^{2} d y$
26777	Evaluate the Integral	integral from 0 to 3 of (7x+7)(x^2+2x+2) with respect to x	$\int_{0}^{3} (7 x + 7) (x^{2} + 2 x + 2) d x$
26778	Evaluate the Integral	integral from 0 to 3 of -160 with respect to t	$\int_{0}^{3} - 160 d t$
26779	Evaluate the Integral	integral from 0 to 4 of square root of 25-y^2 with respect to y	$\int_{0}^{4} \sqrt{25 - y^{2}} d y$
26780	Evaluate the Integral	integral from 0 to 4 of 7/( square root of 49-y^2) with respect to y	$\int_{0}^{4} \frac{7}{\sqrt{49 - y^{2}}} d y$
26781	Evaluate the Integral	integral from 0 to 300 of 4/5* fourth root of x^5 with respect to x	$\int_{0}^{300} \frac{4}{5} \cdot \sqrt[4]{x^{5}} d x$
26782	Evaluate the Integral	integral from 0 to 4 of x^2-4x with respect to x	$\int_{0}^{4} x^{2} - 4 x d x$
26783	Evaluate the Integral	integral from 0 to 4 of 4x-3 square root of x with respect to x	$\int_{0}^{4} 4 x - 3 \sqrt{x} d x$
26784	Evaluate the Integral	integral from 0 to 4 of 7x^2-4x+3 with respect to x	$\int_{0}^{4} 7 x^{2} - 4 x + 3 d x$
26785	Evaluate the Integral	integral from 0 to 4 of (4t-1)^2 with respect to t	$\int_{0}^{4} {(4 t - 1)}^{2} d t$
26786	Evaluate the Integral	integral from 0 to 3 of 200e^(0.1t) with respect to t	$\int_{0}^{3} 200 e^{0.1 t} d t$
26787	Evaluate the Integral	integral from 0 to 3 of 21x^2e^(x^3) with respect to x	$\int_{0}^{3} 21 x^{2} e^{x^{3}} d x$
26788	Evaluate the Integral	integral from 0 to 3 of 1+6w^2-10w^4 with respect to w	$\int_{0}^{3} 1 + 6 w^{2} - 10 w^{4} d w$
26789	Evaluate the Integral	integral from 0 to 3 of x^3-4x with respect to x	$\int_{0}^{3} x^{3} - 4 x d x$
26790	Evaluate the Integral	integral from 0 to 3 of 10x(3^(-x)) with respect to x	$\int_{0}^{3} 10 x (3^{- x}) d x$
26791	Evaluate the Integral	integral from 0 to 3 of 2/(x-3^3) with respect to x	$\int_{0}^{3} \frac{2}{x - 3^{3}} d x$
26792	Evaluate the Integral	integral from 0 to 3 of m^2(4m^3+2)^3 with respect to m	$\int_{0}^{3} m^{2} {(4 m^{3} + 2)}^{3} d m$
26793	Evaluate the Integral	integral from 0 to -3 of x^2-15 with respect to x	$\int_{0}^{- 3} x^{2} - 15 d x$
26794	Evaluate the Integral	integral from 0 to 3 of 35x^4e^(x^5) with respect to x	$\int_{0}^{3} 35 x^{4} e^{x^{5}} d x$
26795	Evaluate the Integral	integral from 0 to 3 of t-5^t with respect to t	$\int_{0}^{3} t - 5^{t} d t$
26796	Evaluate the Integral	integral from 0 to 3 of 8x^3e^(x^4) with respect to x	$\int_{0}^{3} 8 x^{3} e^{x^{4}} d x$
26797	Evaluate the Integral	integral from 0 to (3pi)/2 of 6\|sin(x)\| with respect to x	$\int_{0}^{\frac{3 π}{2}} 6 \| \sin (x) \| d x$
26798	Evaluate the Integral	integral from 0 to 3.14 of sin(x) with respect to x	$\int_{0}^{3.14} \sin (x) d x$
26799	Evaluate the Integral	integral from 0 to 300 of 0.0003x^2-0.12x+20 with respect to x	$\int_{0}^{300} 0.0003 x^{2} - 0.12 x + 20 d x$
26800	Evaluate the Integral	integral from 0 to 3500 of 150-0.04x+0.0002x^2 with respect to x	$\int_{0}^{3500} 150 - 0.04 x + 0.0002 x^{2} d x$