Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
27701	Evaluate the Integral	integral of x^4(x^5-6)^4 with respect to x	$\int x^{4} {(x^{5} - 6)}^{4} d x$
27702	Evaluate the Integral	integral of x^2sin(2x^3) with respect to x	$\int x^{2} \sin (2 x^{3}) d x$
27703	Evaluate the Integral	integral of x^2sin(x^2) with respect to x	$\int x^{2} \sin (x^{2}) d x$
27704	Evaluate the Integral	integral of x^2ydy with respect to x	$\int x^{2} yds y d x$
27705	Evaluate the Integral	integral of x^2 natural log of 2x with respect to x	$\int x^{2} \ln (2 x) d x$
27706	Evaluate the Integral	integral of x^3sec(x^4)^2 with respect to x	$\int x^{3} \sec^{2} (x^{4}) d x$
27707	Evaluate the Integral	integral of x^3 square root of x^2-25 with respect to x	$\int x^{3} \sqrt{x^{2} - 25} d x$
27708	Evaluate the Integral	integral of x^3e^(5x) with respect to x	$\int x^{3} e^{5 x} d x$
27709	Evaluate the Integral	integral of square root of -8x+4 with respect to x	$\int \sqrt{- 8 x + 4} d x$
27710	Evaluate the Integral	integral of square root of 8x+5 with respect to x	$\int \sqrt{8 x + 5} d x$
27711	Evaluate the Integral	integral of square root of 539+49x^2 with respect to x	$\int \sqrt{539 + 49 x^{2}} d x$
27712	Evaluate the Integral	integral of square root of 5x-1 with respect to x	$\int \sqrt{5 x - 1} d x$
27713	Evaluate the Integral	integral of square root of 5x+2 with respect to x	$\int \sqrt{5 x + 2} d x$
27714	Evaluate the Integral	integral of square root of 4-5x^2 with respect to x	$\int \sqrt{4 - 5 x^{2}} d x$
27715	Evaluate the Integral	integral of square root of 3x-2 with respect to x	$\int \sqrt{3 x - 2} d x$
27716	Evaluate the Integral	integral of square root of 3-3y^2 with respect to y	$\int \sqrt{3 - 3 y^{2}} d y$
27717	Evaluate the Integral	integral of square root of 3+s(s+1)^2 with respect to s	$\int \sqrt{3 + s} {(s + 1)}^{2} d s$
27718	Evaluate the Integral	integral of square root of 2y with respect to y	$\int \sqrt{2 y} d y$
27719	Evaluate the Integral	integral of square root of 25-x^2(-2x) with respect to x	$\int \sqrt{25 - x^{2}} (- 2 x) d x$
27720	Evaluate the Integral	integral of square root of 2+e^x with respect to x	$\int \sqrt{2 + e^{x}} d x$
27721	Evaluate the Integral	integral of (v+1)/(-1-v^2) with respect to v	$\int \frac{v + 1}{- 1 - v^{2}} d v$
27722	Evaluate the Integral	integral of v^2-e^(3v) with respect to v	$\int v^{2} - e^{3 v} d v$
27723	Evaluate the Integral	integral of square root of ycos(x) with respect to x+x	$\int \sqrt{y} \cos (x) d x + x$
27724	Evaluate the Integral	integral of square root of z with respect to z	$\int \sqrt{z} d z$
27725	Evaluate the Limit	limit as x approaches 0 of (cos(x)tan(x))/(2x)	$lim_{x \to 0} \frac{\cos (x) \tan (x)}{2 x}$
27726	Evaluate the Integral	integral of square root of x natural log of x^2 with respect to x	$\int \sqrt{x} \ln (x^{2}) d x$
27727	Evaluate the Integral	integral from square root of x to pi/2 of sin(t^2) with respect to t	$\int_{\sqrt{x}}^{\frac{π}{2}} \sin (t^{2}) d t$
27728	Evaluate the Integral	integral from square root of x to pi of cos(t^2) with respect to t	$\int_{\sqrt{x}}^{π} \cos (t^{2}) d t$
27729	Evaluate the Integral	integral of square root of t(t^2+t-1) with respect to t	$\int \sqrt{t} (t^{2} + t - 1) d t$
27730	Evaluate the Integral	integral of square root of t(t^4+t-4) with respect to t	$\int \sqrt{t} (t^{4} + t - 4) d t$
27731	Evaluate the Integral	integral of square root of t(t^6+t-4) with respect to t	$\int \sqrt{t} (t^{6} + t - 4) d t$
27732	Evaluate the Integral	integral of square root of tan(3x)sec(3x)^2 with respect to x	$\int \sqrt{\tan (3 x)} \sec^{2} (3 x) d x$
27733	Evaluate the Integral	integral of square root of tan(4x)sec(4x)^2 with respect to x	$\int \sqrt{\tan (4 x)} \sec^{2} (4 x) d x$
27734	Evaluate the Integral	integral of square root of tan(6x)sec(6x)^2 with respect to x	$\int \sqrt{\tan (6 x)} \sec^{2} (6 x) d x$
27735	Evaluate the Integral	integral of square root of tan(7x)sec(7x)^2 with respect to x	$\int \sqrt{\tan (7 x)} \sec^{2} (7 x) d x$
27736	Evaluate the Integral	integral of square root of cos(6x)sin(6x) with respect to x	$\int \sqrt{\cos (6 x)} \sin (6 x) d x$
27737	Evaluate the Integral	integral of square root of bx with respect to x	$\int \sqrt{b x} d x$
27738	Evaluate the Integral	integral of square root of 8x+9 with respect to x	$\int \sqrt{8 x + 9} d x$
27739	Evaluate the Limit	limit as x approaches 0 of (1+5x)^(1/x)	$lim_{x \to 0} {(1 + 5 x)}^{\frac{1}{x}}$
27740	Evaluate the Integral	integral of cube root of sin(x)cos(x) with respect to x	$\int \sqrt[3]{\sin (x)} \cos (x) d x$
27741	Evaluate the Integral	integral of cube root of x^2-4/(x^3) with respect to x	$\int \sqrt[3]{x^{2}} - \frac{4}{x^{3}} d x$
27742	Evaluate the Integral	integral of cube root of 2x with respect to x	$\int \sqrt[3]{2 x} d x$
27743	Evaluate the Integral	integral of cube root of 3x-4 with respect to x	$\int \sqrt[3]{3 x - 4} d x$
27744	Evaluate the Integral	integral of cube root of 1-x with respect to x	$\int \sqrt[3]{1 - x} d x$
27745	Evaluate the Integral	integral of w/(w-2) with respect to w	$\int \frac{w}{w - 2} d w$
27746	Evaluate the Integral	integral of (x-e^(3arctan(x)))/(1+x^2) with respect to x	$\int \frac{x - e^{3 \arctan (x)}}{1 + x^{2}} d x$
27747	Evaluate the Integral	integral of x/((x-1)(x-2)) with respect to x	$\int \frac{x}{(x - 1) (x - 2)} d x$
27748	Evaluate the Integral	integral of x/((3/2y-x)^2) with respect to x	$\int \frac{x}{{(\frac{3}{2} y - x)}^{2}} d x$
27749	Evaluate the Integral	integral of x/((1-x)^10) with respect to x	$\int \frac{x}{{(1 - x)}^{10}} d x$
27750	Evaluate the Integral	integral of x/( square root of x^2-5) with respect to x	$\int \frac{x}{\sqrt{x^{2} - 5}} d x$
27751	Evaluate the Integral	integral of x/(v(4+x^2)) with respect to x	$\int \frac{x}{v (4 + x^{2})} d x$
27752	Evaluate the Integral	integral of x/(e^(9x)) with respect to x	$\int \frac{x}{e^{9 x}} d x$
27753	Find the Derivative - d/dx	y=sin((pix)^9)	$y = \sin ({(π x)}^{9})$
27754	Evaluate the Integral	integral of x^2 square root of x-7 with respect to x	$\int x^{2} \sqrt{x - 7} d x$
27755	Find dy/dx	y=2sec(x)-csc(x)	$y = 2 \sec (x) - \csc (x)$
27756	Evaluate the Integral	integral of x^2 square root of x^3+31 with respect to x	$\int x^{2} \sqrt{x^{3} + 31} d x$
27757	Evaluate the Integral	integral of x^2 fourth root of 4x-3 with respect to x	$\int x^{2} \sqrt[4]{4 x - 3} d x$
27758	Evaluate the Integral	integral of x^2cos(5x) with respect to x	$\int x^{2} \cos (5 x) d x$
27759	Find dy/dx	y=cos(a^8+x^8)	$y = \cos (a^{8} + x^{8})$
27760	Evaluate the Integral	integral of x^2 natural log of 7x with respect to x	$\int x^{2} \ln (7 x) d x$
27761	Evaluate the Integral	integral of x^2-4x with respect to x	$\int x^{2} - 4 x d x$
27762	Evaluate the Integral	integral of x^2-9 with respect to x	$\int x^{2} - 9 d x$
27763	Evaluate the Integral	integral of x^2e^(-2x^3) with respect to x	$\int x^{2} e^{- 2 x^{3}} d x$
27764	Evaluate the Integral	integral of x^14 with respect to x	$\int x^{14} d x$
27765	Evaluate the Integral	integral of x^2(3-10x^3)^4 with respect to x	$\int x^{2} {(3 - 10 x^{3})}^{4} d x$
27766	Evaluate the Integral	integral of x^2*cos(2x) with respect to x	$\int x^{2} \cdot \cos (2 x) d x$
27767	Evaluate the Integral	integral of x^2(3x+5) with respect to x	$\int x^{2} (3 x + 5) d x$
27768	Evaluate the Integral	integral of x^2((x^3)/18-1)^5 with respect to x	$\int x^{2} {(\frac{x^{3}}{18} - 1)}^{5} d x$
27769	Evaluate the Integral	integral of x/(9-x^2) with respect to x	$\int \frac{x}{9 - x^{2}} d x$
27770	Evaluate the Integral	integral of x/(1-xcot(x)) with respect to x	$\int \frac{x}{1 - x \cot (x)} d x$
27771	Evaluate the Integral	integral of x/(x^4+25) with respect to x	$\int \frac{x}{x^{4} + 25} d x$
27772	Evaluate the Integral	integral of x/(1+16x^2) with respect to x	$\int \frac{x}{1 + 16 x^{2}} d x$
27773	Evaluate the Integral	integral of x/(x^4-a^4) with respect to x	$\int \frac{x}{x^{4} - a^{4}} d x$
27774	Evaluate the Integral	integral of x/(x^2+y^2) with respect to y	$\int \frac{x}{x^{2} + y^{2}} d y$
27775	Evaluate the Integral	integral of x/( cube root of x-6) with respect to x	$\int \frac{x}{\sqrt[3]{x - 6}} d x$
27776	Evaluate the Integral	integral of x/(x^2-2x+1) with respect to x	$\int \frac{x}{x^{2} - 2 x + 1} d x$
27777	Evaluate the Integral	integral of x/(x^2-49) with respect to x	$\int \frac{x}{x^{2} - 49} d x$
27778	Find dy/dx	e^(x/y)=8x-y	$e^{\frac{x}{y}} = 8 x - y$
27779	Evaluate the Integral	integral of x^(1/3)(28-x)^2 with respect to x	$\int x^{\frac{1}{3}} {(28 - x)}^{2} d x$
27780	Evaluate the Integral	integral of x^(1/3)(56-x)^2 with respect to x	$\int x^{\frac{1}{3}} {(56 - x)}^{2} d x$
27781	Find dy/dx	y^2-16x=0	$y^{2} - 16 x = 0$
27782	Evaluate the Integral	integral of x^(-2/5) with respect to x	$\int x^{- \frac{2}{5}} d x$
27783	Evaluate the Integral	integral of x/(x-6) with respect to x	$\int \frac{x}{x - 6} d x$
27784	Evaluate the Integral	integral of x^-0.9 with respect to x	$\int x^{- 0.9} d x$
27785	Evaluate the Integral	integral of x/12 with respect to x	$\int \frac{x}{12} d x$
27786	Evaluate the Integral	integral of x^13 with respect to x	$\int x^{13} d x$
27787	Evaluate the Integral	integral of x^15sin(x^16) with respect to x	$\int x^{15} \sin (x^{16}) d x$
27788	Evaluate the Integral	integral of x^19sin(x^20) with respect to x	$\int x^{19} \sin (x^{20}) d x$
27789	Evaluate the Integral	integral of x^(7/4) with respect to x	$\int x^{\frac{7}{4}} d x$
27790	Evaluate the Integral	integral of x^(7/2) with respect to x	$\int x^{\frac{7}{2}} d x$
27791	Evaluate the Integral	integral of x^(-8/7) with respect to x	$\int x^{- \frac{8}{7}} d x$
27792	Evaluate the Integral	integral of x^(-4/7) with respect to x	$\int x^{- \frac{4}{7}} d x$
27793	Evaluate the Integral	integral of x^(5/6) with respect to x	$\int x^{\frac{5}{6}} d x$
27794	Evaluate the Integral	integral of e^(5-3t) with respect to t	$\int e^{5 - 3 t} d t$
27795	Evaluate the Integral	integral of e^(4y) with respect to y	$\int e^{4 y} d y$
27796	Evaluate the Integral	integral of e^(-4y) with respect to y	$\int e^{- 4 y} d y$
27797	Evaluate the Integral	integral of e^(-3y) with respect to y	$\int e^{- 3 y} d y$
27798	Evaluate the Integral	integral of e^(8x)+e^(-5x) with respect to x	$\int e^{8 x} + e^{- 5 x} d x$
27799	Evaluate the Integral	integral of e^(8x-2) with respect to x	$\int e^{8 x - 2} d x$
27800	Evaluate the Integral	integral of e^(6x-7) with respect to x	$\int e^{6 x - 7} d x$