Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
26801	Evaluate the Integral	integral from 0 to 6 of ydx with respect to x	$\int_{0}^{6} yds x d x$
26802	Evaluate the Integral	integral from 0 to 60 of -0.0009x^3+0.0782x^2-0.2079x+0.0952 with respect to x	$\int_{0}^{60} - 0.0009 x^{3} + 0.0782 x^{2} - 0.2079 x + 0.0952 d x$
26803	Evaluate the Integral	integral from 0 to 6 of 12x with respect to x	$\int_{0}^{6} 12 x d x$
26804	Evaluate the Integral	integral from 0 to 6 of 2 with respect to x	$\int_{0}^{6} 2 d x$
26805	Evaluate the Integral	integral from 0 to 5 of cos(5x) with respect to x	$\int_{0}^{5} \cos (5 x) d x$
26806	Evaluate the Integral	integral from 0 to 5pi of -3sin(x)+4cos(x) with respect to x	$\int_{0}^{5 π} - 3 \sin (x) + 4 \cos (x) d x$
26807	Evaluate the Integral	integral from 0 to 6 of square root of 6x+64 with respect to x	$\int_{0}^{6} \sqrt{6 x + 64} d x$
26808	Evaluate the Integral	integral from 0 to 6 of square root of 2x+4 with respect to x	$\int_{0}^{6} \sqrt{2 x + 4} d x$
26809	Evaluate the Integral	integral from 0 to 5 of 2x-5 with respect to x	$\int_{0}^{5} 2 x - 5 d x$
26810	Evaluate the Integral	integral from 0 to 5 of 3x^3 with respect to x	$\int_{0}^{5} 3 x^{3} d x$
26811	Evaluate the Integral	integral from 0 to 52 of 0.005t^2-0.3t-1.5 with respect to x	$\int_{0}^{52} 0.005 t^{2} - 0.3 t - 1.5 d x$
26812	Evaluate the Integral	integral from 0 to 4pi of 5sin(x^2) with respect to x	$\int_{0}^{4 π} 5 \sin (x^{2}) d x$
26813	Evaluate the Integral	integral from 0 to 5 of 1/(25+x^2) with respect to x	$\int_{0}^{5} \frac{1}{25 + x^{2}} d x$
26814	Evaluate the Integral	integral from 0 to 4 of ycos(y) with respect to y	$\int_{0}^{4} y \cos (y) d y$
26815	Evaluate the Integral	integral from 0 to natural log of 5 of 3e^(3x) with respect to x	$\int_{0}^{\ln (5)} 3 e^{3 x} d x$
26816	Evaluate the Integral	integral from 0 to pi of 4e^x+9sin(x) with respect to x	$\int_{0}^{π} 4 e^{x} + 9 \sin (x) d x$
26817	Evaluate the Integral	integral from 0 to pi of (1+sin(x))^2 with respect to x	$\int_{0}^{π} {(1 + \sin (x))}^{2} d x$
26818	Evaluate the Integral	integral from 0 to e of x+1/x with respect to x	$\int_{0}^{e} x + \frac{1}{x} d x$
26819	Evaluate the Integral	integral from 0 to natural log of 3 of e^(x+ natural log of 2)-e^x with respect to x	$\int_{0}^{\ln (3)} e^{x + \ln (2)} - e^{x} d x$
26820	Evaluate the Integral	integral from 0 to natural log of 3 of e^x with respect to x	$\int_{0}^{\ln (3)} e^{x} d x$
26821	Evaluate the Integral	integral from 0 to natural log of 16 of e^(x/4) with respect to x	$\int_{0}^{\ln (16)} e^{\frac{x}{4}} d x$
26822	Evaluate the Integral	integral from 0 to infinity of e^(-x^2) with respect to x	$\int_{0}^{\infty} e^{- x^{2}} d x$
26823	Evaluate the Integral	integral from 0 to 90 of cos(x)sin(x) with respect to x	$\int_{0}^{90} \cos (x) \sin (x) d x$
26824	Evaluate the Integral	integral from 0 to 9 natural log of x of e^t with respect to t	$\int_{0}^{9 \ln (x)} e^{t} d t$
26825	Evaluate the Integral	integral from 0 to 9 of 0.5x+sin(2x)+3 with respect to x	$\int_{0}^{9} 0.5 x + \sin (2 x) + 3 d x$
26826	Find the Derivative - d/dx	arccsc(x)	$arccsc (x)$
26827	Evaluate the Integral	integral from 0 to 9 of 18x-27x^2 with respect to x	$\int_{0}^{9} 18 x - 27 x^{2} d x$
26828	Evaluate the Integral	integral from 0 to 81 of 81/( square root of x) with respect to x	$\int_{0}^{81} \frac{81}{\sqrt{x}} d x$
26829	Evaluate the Integral	integral from 0 to 8 of x square root of 64-x^2 with respect to x	$\int_{0}^{8} x \sqrt{64 - x^{2}} d x$
26830	Evaluate the Integral	integral from 0 to 9 of 1/3x-2 with respect to x	$\int_{0}^{9} \frac{1}{3} x - 2 d x$
26831	Evaluate the Integral	integral from 0 to pi/4 of cos(2x) with respect to x	$\int_{0}^{\frac{π}{4}} \cos (2 x) d x$
26832	Evaluate the Integral	integral from 0 to 7 of x cube root of x+1 with respect to x	$\int_{0}^{7} x \sqrt[3]{x + 1} d x$
26833	Evaluate the Integral	integral from 0 to 6 of 10e^(-1/2t) with respect to t	$\int_{0}^{6} 10 e^{- \frac{1}{2} t} d t$
26834	Evaluate the Integral	integral from 0 to 7 of (3y^2-2y+5)/(y^3-y^2+5y+1) with respect to y	$\int_{0}^{7} \frac{3 y^{2} - 2 y + 5}{y^{3} - y^{2} + 5 y + 1} d y$
26835	Evaluate the Integral	integral from 0 to 8 of xe^(1-x) with respect to x	$\int_{0}^{8} x e^{1 - x} d x$
26836	Evaluate the Integral	integral from 0 to 8 of 8x with respect to x	$\int_{0}^{8} 8 x d x$
26837	Evaluate the Integral	integral from 0 to 8 of ((2-3x)/4)^2 with respect to x	$\int_{0}^{8} {(\frac{2 - 3 x}{4})}^{2} d x$
26838	Evaluate the Integral	integral from 0 to 8 of 8e^(-x) with respect to x	$\int_{0}^{8} 8 e^{- x} d x$
26839	Evaluate the Integral	integral from 0 to 8 of 8+ cube root of x with respect to x	$\int_{0}^{8} 8 + \sqrt[3]{x} d x$
26840	Find the Derivative - d/dx	-7	$- 7$
26841	Evaluate the Integral	integral from 0 to 8 of square root of 64-3^2 with respect to x	$\int_{0}^{8} \sqrt{64 - 3^{2}} d x$
26842	Evaluate the Integral	integral from 0 to 10 of e^(-2t)sin(2t)^2 with respect to t	$\int_{0}^{10} e^{- 2 t} \sin^{2} (2 t) d t$
26843	Evaluate the Integral	integral from 0 to 100 of x with respect to x	$\int_{0}^{100} x d x$
26844	Evaluate the Integral	integral from 0 to 12 of \|v(t)\| with respect to t	$\int_{0}^{12} \| v (t) \| d t$
26845	Evaluate the Integral	integral from 0 to 10 of 3e^(0.7(10-t)) with respect to t	$\int_{0}^{10} 3 e^{0.7 (10 - t)} d t$
26846	Evaluate the Integral	integral from 0 to 1 of sin(2x) with respect to x	$\int_{0}^{1} \sin (2 x) d x$
26847	Evaluate the Integral	integral from 0 to 1 of sin(3pit) with respect to t	$\int_{0}^{1} \sin (3 π t) d t$
26848	Evaluate the Integral	integral from 0 to 1 of x(8 cube root of x+5 fourth root of x) with respect to x	$\int_{0}^{1} x (8 \sqrt[3]{x} + 5 \sqrt[4]{x}) d x$
26849	Find the Derivative - d/dx	y=5^(3x+7)	$y = 5^{3 x + 7}$
26850	Evaluate the Integral	integral from 0 to 1 of xsin(x) with respect to x	$\int_{0}^{1} x \sin (x) d x$
26851	Evaluate the Integral	integral from 0 to 1 of 4x-0 with respect to x	$\int_{0}^{1} 4 x - 0 d x$
26852	Evaluate the Integral	integral from 0 to 1 of 5x^4(3+x^5)^4 with respect to x	$\int_{0}^{1} 5 x^{4} {(3 + x^{5})}^{4} d x$
26853	Evaluate the Integral	integral from 0 to 1 of 3 square root of x with respect to x	$\int_{0}^{1} 3 \sqrt{x} d x$
26854	Evaluate the Integral	integral from 0 to 1 of 4cos((pit)/2) with respect to t	$\int_{0}^{1} 4 \cos (\frac{π t}{2}) d t$
26855	Evaluate the Integral	integral from 0 to 1 of 9x(x^2-1)^9 with respect to x	$\int_{0}^{1} 9 x {(x^{2} - 1)}^{9} d x$
26856	Evaluate the Integral	integral from 0 to 1 of 9x^2 with respect to x	$\int_{0}^{1} 9 x^{2} d x$
26857	Find the Derivative - d/dx	y=x^3cos(x^2)	$y = x^{3} \cos (x^{2})$
26858	Evaluate the Integral	integral from 0 to 1 of arcsin(y) with respect to y	$\int_{0}^{1} \arcsin (y) d y$
26859	Evaluate the Integral	integral from 0 to 1 of cos((pit)/2) with respect to t	$\int_{0}^{1} \cos (\frac{π t}{2}) d t$
26860	Evaluate the Integral	integral from 0 to 1 of cos((pix)/2) with respect to x	$\int_{0}^{1} \cos (\frac{π x}{2}) d x$
26861	Evaluate the Integral	integral from 0 to 1 of 8e^(2x) with respect to x	$\int_{0}^{1} 8 e^{2 x} d x$
26862	Find ds/dt	s=t^2 natural log of t	$s = t^{2} \ln (t)$
26863	Evaluate the Integral	integral from 0 to 1 of 8cos((pit)/2) with respect to t	$\int_{0}^{1} 8 \cos (\frac{π t}{2}) d t$
26864	Evaluate the Integral	integral from 0 to 1 of 11x^10(1+x^11)^10 with respect to x	$\int_{0}^{1} 11 x^{10} {(1 + x^{11})}^{10} d x$
26865	Evaluate the Integral	integral from 0 to 1 of e^0.05 with respect to t	$\int_{0}^{1} e^{0.05} d t$
26866	Evaluate the Integral	integral from 0 to 1 of y^3-ydy with respect to y	$\int_{0}^{1} y^{3} - yds y d y$
26867	Evaluate the Integral	integral from 0 to 1 of 2e^(0.09x) with respect to x	$\int_{0}^{1} 2 e^{0.09 x} d x$
26868	Evaluate the Integral	integral from 0 to 1 of y/(e^(8y)) with respect to y	$\int_{0}^{1} \frac{y}{e^{8 y}} d y$
26869	Evaluate the Integral	integral from 0 to 1 of ze^(-z) with respect to z	$\int_{0}^{1} z e^{- z} d z$
26870	Evaluate the Integral	integral from 0 to 1 of 3000(t+5) with respect to t	$\int_{0}^{1} 3000 (t + 5) d t$
26871	Evaluate the Integral	integral from 0 to 1 of 24e^(4x) with respect to x	$\int_{0}^{1} 24 e^{4 x} d x$
26872	Evaluate the Integral	integral from 0 to 5 of (975-23x)-630 with respect to x	$\int_{0}^{5} (975 - 23 x) - 630 d x$
26873	Evaluate the Integral	integral from 0 to 1 of square root of 144-(1.5)^2 with respect to x	$\int_{0}^{1} \sqrt{144 - {(1.5)}^{2}} d x$
26874	Evaluate the Integral	integral from 0 to 1 of square root of 144-3^2 with respect to x	$\int_{0}^{1} \sqrt{144 - 3^{2}} d x$
26875	Evaluate the Integral	integral from 0 to 1 of 1/(5+t) with respect to tdx	$\int_{0}^{1} \frac{1}{5 + t} d t d x$
26876	Evaluate the Integral	integral from 0 to 2 of sin(pix)-(x^3-4x) with respect to x	$\int_{0}^{2} \sin (π x) - (x^{3} - 4 x) d x$
26877	Evaluate the Integral	integral from 0 to 2 of 6x^2-4x+5 with respect to x	$\int_{0}^{2} 6 x^{2} - 4 x + 5 d x$
26878	Evaluate the Integral	integral from 0 to 2 of 5x^2-4x+7 with respect to x	$\int_{0}^{2} 5 x^{2} - 4 x + 7 d x$
26879	Evaluate the Integral	integral from 0 to 2 of 4t-1 with respect to t	$\int_{0}^{2} 4 t - 1 d t$
26880	Evaluate the Integral	integral from 0 to 2 of (2x-3)(4x^2+1) with respect to x	$\int_{0}^{2} (2 x - 3) (4 x^{2} + 1) d x$
26881	Evaluate the Integral	integral from 0 to 1pi of 19/2*cos(x) with respect to x	$\int_{0}^{1 π} \frac{19}{2} \cdot \cos (x) d x$
26882	Evaluate the Integral	integral from 0 to 2 of 1/(x^2) with respect to x	$\int_{0}^{2} \frac{1}{x^{2}} d x$
26883	Evaluate the Integral	integral from 0 to 2 of 1/((x-1)^(2/3)) with respect to x	$\int_{0}^{2} \frac{1}{{(x - 1)}^{\frac{2}{3}}} d x$
26884	Evaluate the Integral	integral from 0 to 2 of 1/(1-x^2) with respect to x	$\int_{0}^{2} \frac{1}{1 - x^{2}} d x$
26885	Evaluate the Integral	integral of 13 natural log of x with respect to x	$\int 13 \ln (x) d x$
26886	Evaluate the Integral	integral from 0 to 2 of (x^2-x-2)/(x+1) with respect to x	$\int_{0}^{2} \frac{x^{2} - x - 2}{x + 1} d x$
26887	Evaluate the Integral	integral from 0 to 2 of (y-1)(2y+1) with respect to y	$\int_{0}^{2} (y - 1) (2 y + 1) d y$
26888	Evaluate the Integral	integral of 1 with respect to theta	$\int 1 d θ$
26889	Evaluate the Integral	integral from 0 to 2 of (x-6)^2 with respect to x	$\int_{0}^{2} {(x - 6)}^{2} d x$
26890	Find the Derivative Using Quotient Rule - d/dx	1/( square root of x)	$\frac{1}{\sqrt{x}}$
26891	Evaluate the Integral	integral from 0 to 2 of r^2e^(3r) with respect to r	$\int_{0}^{2} r^{2} e^{3 r} d r$
26892	Find dy/dx	y^2-x^2=4	$y^{2} - x^{2} = 4$
26893	Evaluate the Integral	integral from 0 to 2 of square root of 4-0.75^2 with respect to x	$\int_{0}^{2} \sqrt{4 - {0.75}^{2}} d x$
26894	Evaluate the Integral	integral from 0 to 2 of z^2 natural log of z with respect to z	$\int_{0}^{2} z^{2} \ln (z) d z$
26895	Evaluate the Integral	integral from 0 to 2 of x^3-3x^2+2x with respect to x	$\int_{0}^{2} x^{3} - 3 x^{2} + 2 x d x$
26896	Evaluate the Integral	integral from 0 to 2 of x^3-5x^2+2x+8 with respect to x	$\int_{0}^{2} x^{3} - 5 x^{2} + 2 x + 8 d x$
26897	Find dy/dx	sin(5x+5y)=xy	$\sin (5 x + 5 y) = x y$
26898	Evaluate the Integral	integral from 0 to 2 of x^2* natural log of x with respect to x	$\int_{0}^{2} x^{2} \cdot \ln (x) d x$
26899	Evaluate the Integral	integral from 0 to 1 of (x-3)e^x with respect to x	$\int_{0}^{1} (x - 3) e^{x} d x$
26900	Evaluate the Integral	integral from 0 to 1 of (1-8x)^2 with respect to x	$\int_{0}^{1} {(1 - 8 x)}^{2} d x$