Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
25901	Evaluate the Integral	integral of square root of cos(3x+1) with respect to x	$\int \sqrt{\cos (3 x + 1)} d x$
25902	Evaluate the Integral	integral of square root of tan(x)sec(x)^2 with respect to x	$\int \sqrt{\tan (x)} \sec^{2} (x) d x$
25903	Evaluate the Integral	integral of square root of tan(x)+ square root of cot(x) with respect to x	$\int \sqrt{\tan (x)} + \sqrt{\cot (x)} d x$
25904	Find dy/dx	y = square root of natural log of 8x	$y = \sqrt{\ln (8 x)}$
25905	Evaluate the Integral	integral of square root of 8-3x^2 with respect to x	$\int \sqrt{8 - 3 x^{2}} d x$
25906	Find the x and y Intercepts	f(x)=(x^2-7)/(x-4)	$f (x) = \frac{x^{2} - 7}{x - 4}$
25907	Evaluate the Integral	integral of square root of 4x-5 with respect to x	$\int \sqrt{4 x - 5} d x$
25908	Evaluate the Integral	integral of square root of cot(x)csc(x)^2 with respect to x	$\int \sqrt{\cot (x)} \csc^{2} (x) d x$
25909	Find the Derivative - d/dx	y=e-x	$y = e - x$
25910	Find the Derivative - d/dx	y=x/7-7/x	$y = \frac{x}{7} - \frac{7}{x}$
25911	Evaluate the Integral	integral of cube root of 4-3x^2(-6x) with respect to x	$\int \sqrt[3]{4 - 3 x^{2}} (- 6 x) d x$
25912	Evaluate the Integral	integral of cube root of x natural log of x with respect to x	$\int \sqrt[3]{x} \ln (x) d x$
25913	Evaluate the Integral	integral of 2xe^(5x) with respect to x	$\int 2 x e^{5 x} d x$
25914	Evaluate the Integral	integral of x/(x^2-4x+8) with respect to x	$\int \frac{x}{x^{2} - 4 x + 8} d x$
25915	Evaluate the Integral	integral of x/( square root of 36-x^2) with respect to x	$\int \frac{x}{\sqrt{36 - x^{2}}} d x$
25916	Find the Derivative - d/d@VAR	f(x)=x^3-6x^2+8x	$f (x) = x^{3} - 6 x^{2} + 8 x$
25917	Find the Local Maxima and Minima	x^4-4x^3+10	$x^{4} - 4 x^{3} + 10$
25918	Evaluate the Integral	integral of x/(2x-1) with respect to x	$\int \frac{x}{2 x - 1} d x$
25919	Find the Local Maxima and Minima	x square root of 4-x^2	$x \sqrt{4 - x^{2}}$
25920	Find the Antiderivative	4/( square root of x)	$\frac{4}{\sqrt{x}}$
25921	Evaluate the Integral	integral of x^2cos(7x) with respect to x	$\int x^{2} \cos (7 x) d x$
25922	Evaluate the Limit	limit as x approaches 3 of (x^2-x)/(x^2-9)	$lim_{x \to 3} \frac{x^{2} - x}{x^{2} - 9}$
25923	Evaluate the Integral	integral of x^(2/5) with respect to x	$\int x^{\frac{2}{5}} d x$
25924	Evaluate the Limit	limit as x approaches infinity of (4x^4)/(6x^3-19)	$lim_{x \to \infty} \frac{4 x^{4}}{6 x^{3} - 19}$
25925	Evaluate the Integral	integral of x^(5/7) with respect to x	$\int x^{\frac{5}{7}} d x$
25926	Evaluate the Limit	limit as x approaches 0 of (tan(x)-x)/(sin(x))	$lim_{x \to 0} \frac{\tan (x) - x}{\sin (x)}$
25927	Evaluate the Integral	integral from 0 to 0.3 of e^(-x^2) with respect to x	$\int_{0}^{0.3} e^{- x^{2}} d x$
25928	Find the Derivative - d/dt	y=tan( square root of 5t)	$y = \tan (\sqrt{5 t})$
25929	Evaluate the Integral	integral of (y+3)/((3-y)^(2/3)) with respect to y	$\int \frac{y + 3}{{(3 - y)}^{\frac{2}{3}}} d y$
25930	Evaluate the Integral	integral of (y+4)/(y-4) with respect to y	$\int \frac{y + 4}{y - 4} d y$
25931	Evaluate the Integral	integral of (y-2)/(y^2+2y-3) with respect to y	$\int \frac{y - 2}{y^{2} + 2 y - 3} d y$
25932	Evaluate the Integral	integral from 0 to pi/12 of cos(2x)sin(2x) with respect to x	$\int_{0}^{\frac{π}{12}} \cos (2 x) \sin (2 x) d x$
25933	Evaluate the Integral	integral from 0 to pi/2 of (1-cos(2t))/2 with respect to t	$\int_{0}^{\frac{π}{2}} \frac{1 - \cos (2 t)}{2} d t$
25934	Evaluate the Integral	integral from 0 to pi/2 of 18sin(x) with respect to x	$\int_{0}^{\frac{π}{2}} 18 \sin (x) d x$
25935	Evaluate the Integral	integral from 0 to pi/2 of 6sin(2x) with respect to x	$\int_{0}^{\frac{π}{2}} 6 \sin (2 x) d x$
25936	Evaluate the Integral	integral from 0 to pi/2 of cos(14x) with respect to x	$\int_{0}^{\frac{π}{2}} \cos (14 x) d x$
25937	Evaluate the Integral	integral from 0 to pi/2 of cot(x) with respect to x	$\int_{0}^{\frac{π}{2}} \cot (x) d x$
25938	Evaluate the Integral	integral from 0 to pi/2 of xsin(x) with respect to x	$\int_{0}^{\frac{π}{2}} x \sin (x) d x$
25939	Find the Derivative - d/dx	3x^5 natural log of x	$3 x^{5} \ln (x)$
25940	Evaluate the Integral	integral from 0 to pi/3 of 2sec(x)^2 with respect to x	$\int_{0}^{\frac{π}{3}} 2 \sec^{2} (x) d x$
25941	Find the Derivative - d/d@VAR	f(x)=x^2 natural log of 7x	$f (x) = x^{2} \ln (7 x)$
25942	Find the Derivative - d/d@VAR	f(x)=29	$f (x) = 29$
25943	Evaluate the Integral	integral of x^3cos(x^2) with respect to x	$\int x^{3} \cos (x^{2}) d x$
25944	Evaluate the Integral	integral of x^-3-3x^(1/4)+8x^2 with respect to x	$\int x^{- 3} - 3 x^{\frac{1}{4}} + 8 x^{2} d x$
25945	Evaluate the Integral	integral of x^3 square root of x-4 with respect to x	$\int x^{3} \sqrt{x - 4} d x$
25946	Solve for ?	tan(theta)=-( square root of 3)/3	$\tan (θ) = - \frac{\sqrt{3}}{3}$
25947	Evaluate the Integral	integral of x^(p-1) with respect to x	$\int x^{p - 1} d x$
25948	Evaluate the Integral	integral of xe^( square root of 5x) with respect to x	$\int x e^{\sqrt{5 x}} d x$
25949	Evaluate from the Left	limit as x approaches 1 of f(x)	$lim_{x \to 1} f (x)$
25950	Evaluate the Integral	integral of (x+1)/(x-1) with respect to x	$\int \frac{x + 1}{x - 1} d x$
25951	Evaluate the Integral	integral of (x+1)/(x^3) with respect to x	$\int \frac{x + 1}{x^{3}} d x$
25952	Evaluate the Integral	integral from -0 to 0 of -2x with respect to x	$\int_{- 0}^{0} - 2 x d x$
25953	Evaluate the Integral	integral from 0 to 1 of (2x+1) square root of x^2+x with respect to x	$\int_{0}^{1} (2 x + 1) \sqrt{x^{2} + x} d x$
25954	Evaluate the Integral	integral from 0 to 0.5 of 3tan(2x) with respect to x	$\int_{0}^{0.5} 3 \tan (2 x) d x$
25955	Evaluate the Integral	integral from 0 to 1 of (52x^(7/2)-66x^(5/2)+22x^(3/2))/( square root of x) with respect to x	$\int_{0}^{1} \frac{52 x^{\frac{7}{2}} - 66 x^{\frac{5}{2}} + 22 x^{\frac{3}{2}}}{\sqrt{x}} d x$
25956	Evaluate the Integral	integral from 0 to 1 of 5x^2+ square root of x with respect to x	$\int_{0}^{1} 5 x^{2} + \sqrt{x} d x$
25957	Evaluate the Integral	integral from 0 to pi/4 of 5sec(x)^4 with respect to x	$\int_{0}^{\frac{π}{4}} 5 \sec^{4} (x) d x$
25958	Evaluate the Integral	integral from 0 to pi/6 of 4cos(x) with respect to x	$\int_{0}^{\frac{π}{6}} 4 \cos (x) d x$
25959	Evaluate the Integral	integral from 0 to pi/8 of 3^(cos(4t))sin(4t) with respect to t	$\int_{0}^{\frac{π}{8}} 3^{\cos (4 t)} \sin (4 t) d t$
25960	Evaluate the Integral	integral from 0 to pi/3 of sec(x)tan(x)(1+sec(x)) with respect to x	$\int_{0}^{\frac{π}{3}} \sec (x) \tan (x) (1 + \sec (x)) d x$
25961	Evaluate the Integral	integral from 0 to 1 of 0.5t^2t^-0.5 with respect to t	$\int_{0}^{1} 0.5 \cdot t^{2} \cdot t^{- 0.5} d t$
25962	Evaluate the Integral	integral from 0 to 1 of (u+5)(u-6) with respect to u	$\int_{0}^{1} (u + 5) (u - 6) d u$
25963	Simplify	e^1	$e^{1}$
25964	Evaluate the Integral	integral of y^2 with respect to x	$\int y^{2} d x$
25965	Find the Derivative - d/d@VAR	f(x)=sec(theta)tan(theta)	$f (x) = \sec (θ) \tan (θ)$
25966	Find the Derivative - d/d@VAR	f(z)=(4z+e^(-z^2))^5	$f (z) = {(4 z + e^{- z^{2}})}^{5}$
25967	Find the Derivative - d/d@VAR	f(z)=(4z+e^(-z^2))^6	$f (z) = {(4 z + e^{- z^{2}})}^{6}$
25968	Evaluate the Integral	integral of cos(x)^4sin(x)^3 with respect to x	$\int \cos^{4} (x) \sin^{3} (x) d x$
25969	Evaluate the Integral	integral of cos(t)^2sin(t) with respect to t	$\int \cos^{2} (t) \sin (t) d t$
25970	Find the Derivative - d/d@VAR	g(x) = square root of 10x	$g (x) = \sqrt{10 x}$
25971	Evaluate the Integral	integral of cos(pi/2x)^2 with respect to x	$\int \cos^{2} (\frac{π}{2} x) d x$
25972	Find the Derivative - d/d@VAR	f(x)=\|x-6\|	$f (x) = \| x - 6 \|$
25973	Evaluate the Integral	integral of (cos(2x))/(cos(x)) with respect to x	$\int \frac{\cos (2 x)}{\cos (x)} d x$
25974	Find the Derivative - d/d@VAR	f(x)=9/(x^2+5)	$f (x) = \frac{9}{x^{2} + 5}$
25975	Find the Derivative - d/d@VAR	f(x)=2^20	$f (x) = 2^{20}$
25976	Find the Derivative - d/dx	square root of 10x	$\sqrt{10 x}$
25977	Evaluate the Integral	integral of (8x)/(3+4x^2) with respect to x	$\int \frac{8 x}{3 + 4 x^{2}} d x$
25978	Evaluate the Integral	integral of 9/(x natural log of 7x) with respect to x	$\int \frac{9}{x \ln (7 x)} d x$
25979	Evaluate the Integral	integral of e^(-x/3) with respect to x	$\int e^{- \frac{x}{3}} d x$
25980	Find the Derivative - d/dx	-x^3+9x^2+165x-400	$- x^{3} + 9 x^{2} + 165 x - 400$
25981	Find the Derivative - d/dx	e^(-17x)	$e^{- 17 x}$
25982	Evaluate the Integral	integral of e^(2x)cos(4x) with respect to x	$\int e^{2 x} \cos (4 x) d x$
25983	Evaluate the Integral	integral of e^(3t-4) with respect to t	$\int e^{3 t - 4} d t$
25984	Find the Derivative - d/dx	1/(x^(1/3))	$\frac{1}{x^{\frac{1}{3}}}$
25985	Evaluate the Integral	integral of 1/( square root of 36-x^2) with respect to xdx	$\int \frac{1}{\sqrt{36 - x^{2}}} d x d x$
25986	Evaluate the Integral	integral of (csc(x^2))/(cot(x^5)) with respect to x	$\int \frac{\csc (x^{2})}{\cot (x^{5})} d x$
25987	Evaluate the Integral	integral of 1/(1+5x) with respect to xdx	$\int \frac{1}{1 + 5 x} d x d x$
25988	Evaluate the Integral	integral of 1/(4-9x^2) with respect to xdx	$\int \frac{1}{4 - 9 x^{2}} d x d x$
25989	Evaluate the Integral	integral of (csc( square root of x)cot( square root of x))/( square root of x) with respect to x	$\int \frac{\csc (\sqrt{x}) \cot (\sqrt{x})}{\sqrt{x}} d x$
25990	Evaluate the Integral	integral of 1/(3x-1) with respect to xdx	$\int \frac{1}{3 x - 1} d x d x$
25991	Find the Derivative - d/dx	(3^x)/( log base 3 of x)	$\frac{3^{x}}{\log_{3} (x)}$
25992	Evaluate the Integral	integral from pi/4 to pi/3 of cot(x) with respect to x	$\int_{\frac{π}{4}}^{\frac{π}{3}} \cot (x) d x$
25993	Evaluate the Integral	integral from pi/3 to pi/2 of (sin(x))/( square root of 1+cos(x)) with respect to x	$\int_{\frac{π}{3}}^{\frac{π}{2}} \frac{\sin (x)}{\sqrt{1 + \cos (x)}} d x$
25994	Evaluate the Integral	integral from pi/2 to pi of e^(sin(q))*cos(q) with respect to q	$\int_{\frac{π}{2}}^{π} e^{\sin (q)} \cdot \cos (q) d q$
25995	Evaluate the Integral	integral from pi/4 to pi/2 of sin(x)^3cos(x) with respect to x	$\int_{\frac{π}{4}}^{\frac{π}{2}} \sin^{3} (x) \cos (x) d x$
25996	Evaluate the Integral	integral from pi/4 to pi/2 of cos(2x) with respect to x	$\int_{\frac{π}{4}}^{\frac{π}{2}} \cos (2 x) d x$
25997	Evaluate the Integral	integral from -pi/2 to pi/2 of 2x+cos(x) with respect to x	$\int_{- \frac{π}{2}}^{\frac{π}{2}} 2 x + \cos (x) d x$
25998	Evaluate the Integral	integral from pi/4 to pi/3 of cos(x)^2 with respect to x	$\int_{\frac{π}{4}}^{\frac{π}{3}} \cos^{2} (x) d x$
25999	Evaluate the Integral	integral from -pi/6 to pi/6 of sin(2x) with respect to x	$\int_{- \frac{π}{6}}^{\frac{π}{6}} \sin (2 x) d x$
26000	Evaluate the Integral	integral from pi/8 to pi/4 of 3csc(2x) with respect to x	$\int_{\frac{π}{8}}^{\frac{π}{4}} 3 \csc (2 x) d x$