Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
54701	Find the Integral	7j	$7 j$
54702	Find the Integral	integral of arctan(x) with respect to x	$\int \arctan (x) d x$
54703	Find the Integral	cube root of y^2	$\sqrt[3]{y^{2}}$
54704	Find the Integral	integral of (x^3)/(1+x^8) with respect to x	$\int \frac{x^{3}}{1 + x^{8}} d x$
54705	Find the Integral	x square root of 5+2x^2dx	$x \sqrt{5 + 2 x^{2}} d x$
54706	Find the Integral	u/(1+u^2)	$\frac{u}{1 + u^{2}}$
54707	Find the Integral	square root of x+1/(2 square root of x)	$\sqrt{x} + \frac{1}{2 \sqrt{x}}$
54708	Find the Integral	t square root of t-1	$t \sqrt{t - 1}$
54709	Find the Integral	10x^4-2sec(x)^2	$10 x^{4} - 2 \sec^{2} (x)$
54710	Find the Integral	1/2 integral of e^(x/2) with respect to x	$\frac{1}{2} \int e^{\frac{x}{2}} d x$
54711	Find the Integral	(x^2)/(9+x^6)	$\frac{x^{2}}{9 + x^{6}}$
54712	Find the Integral	integral of (sin(x))/(cos(x)^3) with respect to x	$\int \frac{\sin (x)}{\cos^{3} (x)} d x$
54713	Find the Integral	integral of 5 with respect to x	$\int 5 d x$
54714	Find the Integral	1/4e^(4x)	$\frac{1}{4} e^{4 x}$
54715	Find the Integral	square root of sec(x)	$\sqrt{\sec (x)}$
54716	Find the Integral	4x^(1/3)	$4 x^{\frac{1}{3}}$
54717	Find the Integral	x^2-2x-3	$x^{2} - 2 x - 3$
54718	Find the Integral	4x(x^2+25000)^(-2/3)	$4 x {(x^{2} + 25000)}^{- \frac{2}{3}}$
54719	Find the Integral	square root of 1+81x	$\sqrt{1 + 81 x}$
54720	Find the Integral	x^5dx	$x^{5} d x$
54721	Find the Integral	e^(sin(x))cos(x)	$e^{\sin (x)} \cos (x)$
54722	Find the Integral	cos(x)^4sin(x)	$\cos^{4} (x) \sin (x)$
54723	Find the Integral	arcsin(x)dx	$\arcsin (x) d x$
54724	Find the Integral	te^(-t^2)	$t e^{- t^{2}}$
54725	Find the Integral	x^2 square root of x-4	$x^{2} \sqrt{x - 4}$
54726	Find the Integral	integral of cot(x)^3csc(x)^5 with respect to x	$\int \cot^{3} (x) \csc^{5} (x) d x$
54727	Find the Integral	(x^2+4)/x	$\frac{x^{2} + 4}{x}$
54728	Find the Integral	12cot(x/3)csc(x/3)	$12 \cot (\frac{x}{3}) \csc (\frac{x}{3})$
54729	Find the Integral	x^2 natural log of xdx	$x^{2} \ln (x d x)$
54730	Find the Integral	25x	$25 x$
54731	Find the Integral	e^(5x)dx	$e^{5 x} d x$
54732	Find the Integral	(du)/u	$\frac{d u}{u}$
54733	Find the Integral	(x^4+x-4)/(x^2+2)	$\frac{x^{4} + x - 4}{x^{2} + 2}$
54734	Find the Integral	integral of 2sec(y)(tan(y)-sec(y)) with respect to y	$\int 2 \sec (y (\tan (y) - \sec (y))) d y$
54735	Find the Integral	integral of ( square root of x^2-36)/x with respect to x	$\int \frac{\sqrt{x^{2} - 36}}{x} d x$
54736	Find the Integral	(sin(x))/(cos(y))	$\frac{\sin (x)}{\cos (y)}$
54737	Find the Integral	4sec(x)tan(x)	$4 \sec (x) \tan (x)$
54738	Find the Integral	1/(csc(x))	$\frac{1}{\csc (x)}$
54739	Find the Integral	integral from 0 to x of e^(-t^2) with respect to t	$\int_{0}^{x} e^{- t^{2}} d t$
54740	Find the Integral	k/x	$\frac{k}{x}$
54741	Find the Integral	integral from 2 to 3 of 1/((x^2-1)^(3/2)) with respect to x	$\int_{2}^{3} \frac{1}{{(x^{2} - 1)}^{\frac{3}{2}}} d x$
54742	Find the Integral	cos(2x+1)	$\cos (2 x + 1)$
54743	Find the Integral	square root of x(x^2+4x)dx	$\sqrt{x} (x^{2} + 4 x) d x$
54744	Find the Integral	square root of 1-cos(x)^2	$\sqrt{1 - \cos^{2} (x)}$
54745	Find the Integral	1/(2 square root of y)	$\frac{1}{2 \sqrt{y}}$
54746	Find the Integral	4sin(pix)^2cos(pix)^5	$4 \sin^{2} (π x) \cos^{5} (π x)$
54747	Find the Integral	sin(x)^2+cos(x)^2	$\sin^{2} (x) + \cos^{2} (x)$
54748	Find the Integral	(sin( square root of x))/( square root of x)	$\frac{\sin (\sqrt{x})}{\sqrt{x}}$
54749	Find the Integral	1/( square root of 1-4x^2)	$\frac{1}{\sqrt{1 - 4 x^{2}}}$
54750	Find the Integral	2 cube root of x^2	$2 \sqrt[3]{x^{2}}$
54751	Find the Integral	x^2sin(2x)	$x^{2} \sin (2 x)$
54752	Find the Integral	4xe^(x^2)	$4 x e^{x^{2}}$
54753	Find the Integral	integral of pi with respect to x	$\int π d x$
54754	Find the Integral	(3x^2)/2	$\frac{3 x^{2}}{2}$
54755	Find the Integral	5sec(x)tan(x)	$5 \sec (x) \tan (x)$
54756	Find the Integral	e^(-5t)	$e^{- 5 t}$
54757	Find the Integral	integral of (3x^2-8x+13)/((x+3)(x-1)^2) with respect to x	$\int \frac{3 x^{2} - 8 x + 13}{(x + 3) {(x - 1)}^{2}} d x$
54758	Find the Integral	integral from 0 to pi of xsin(x)cos(x) with respect to x	$\int_{0}^{π} x \sin (x) \cos (x) d x$
54759	Find the Integral	integral from 1 to 3 of (e^(3/x))/(x^2) with respect to x	$\int_{1}^{3} \frac{e^{\frac{3}{x}}}{x^{2}} d x$
54760	Find the Integral	1/4x^2	$\frac{1}{4} x^{2}$
54761	Find the Integral	x(4x^2+3)^3	$x {(4 x^{2} + 3)}^{3}$
54762	Find the Integral	y square root of y	$y \sqrt{y}$
54763	Find the Integral	cos(10x)	$\cos (10 x)$
54764	Find the Integral	sec(4x)^2	$\sec^{2} (4 x)$
54765	Find the Integral	6xe^(3x)	$6 x e^{3 x}$
54766	Find the Integral	integral from 0 to 1/14 of (arcsin(7x))/( square root of 1-49x^2) with respect to x	$\int_{0}^{\frac{1}{14}} \frac{\arcsin (7 x)}{\sqrt{1 - 49 x^{2}}} d x$
54767	Find the Integral	cos(xdx)^2	$\cos^{2} (x d x)$
54768	Find the Integral	sec(y)^2	$\sec^{2} (y)$
54769	Find the Integral	natural log of y^2+1	$\ln (y^{2} + 1)$
54770	Find the Integral	cube root of xdx	$\sqrt[3]{x} d x$
54771	Find the Integral	1-sin(x)^2	$1 - \sin^{2} (x)$
54772	Find the Integral	integral of 1/((25-x^2)^(3/2)) with respect to x	$\int \frac{1}{{(25 - x^{2})}^{\frac{3}{2}}} d x$
54773	Find the Integral	t^4-4t^2+c	$t^{4} - 4 t^{2} + c$
54774	Find the Integral	cos(x)(sec(x)-cos(x))	$\cos (x (\sec (x) - \cos (x)))$
54775	Find the Integral	(3x-2)^4	${(3 x - 2)}^{4}$
54776	Find the Integral	2te^(2t)	$2 t e^{2 t}$
54777	Find the Integral	(6x)/(2^(4x^2))	$\frac{6 x}{2^{4 x^{2}}}$
54778	Find the Integral	e^(1/2x)	$e^{\frac{1}{2} x}$
54779	Find the Integral	xe^(-y)+10e^(-y)	$x e^{- y} + 10 e^{- y}$
54780	Find the Integral	xcos(5x^2)	$x \cos (5 x^{2})$
54781	Find the Integral	integral of ( square root of 81-x^2)/x with respect to x	$\int \frac{\sqrt{81 - x^{2}}}{x} d x$
54782	Find the Integral	sin(x)^2cos(x)^4	$\sin^{2} (x) \cos^{4} (x)$
54783	Find the Integral	(dy)/(y natural log of y)	$\frac{d y}{y \ln (y)}$
54784	Find the Integral	integral of (sin(xdx))/(cos(x)^2) with respect to x	$\int \frac{\sin (x d x)}{\cos^{2} (x)} d x$
54785	Find the Integral	integral from 1 to square root of 3 of 9arctan(1/x) with respect to x	$\int_{1}^{\sqrt{3}} 9 \arctan (\frac{1}{x}) d x$
54786	Find the Integral	integral from 0 to infinity of e^(-x) with respect to x	$\int_{0}^{\infty} e^{- x} d x$
54787	Find the Integral	arccot(x)	$arccot (x)$
54788	Find the Integral	integral of ((x^3+2x^2-4)/(x^2)) with respect to x	$\int (\frac{x^{3} + 2 x^{2} - 4}{x^{2}}) d x$
54789	Find the Integral	xcot(x^2)	$x \cot (x^{2})$
54790	Find the Integral	(1-sin(x)^2)/(sin(x)^2)	$\frac{1 - \sin^{2} (x)}{\sin^{2} (x)}$
54791	Find the Integral	1/16sin(2x)	$\frac{1}{16} \sin (2 x)$
54792	Find the Integral	sin(2x)cos(2x)	$\sin (2 x) \cos (2 x)$
54793	Find the Integral	12t(3t^2-1)^3	$12 t {(3 t^{2} - 1)}^{3}$
54794	Convert to Interval Notation	-8<=(6x+17)/5<7	$- 8 \leq \frac{6 x + 17}{5} < 7$
54795	Convert to Interval Notation	-6<4-2x<=14	$- 6 < 4 - 2 x \leq 14$
54796	Convert to Interval Notation	x^2-121<=0	$x^{2} - 121 \leq 0$
54797	Convert to Interval Notation	x^4-9x^2>0	$x^{4} - 9 x^{2} > 0$
54798	Convert to Interval Notation	\|x+6\|>=7	$\| x + 6 \| \geq 7$
54799	Convert to Interval Notation	\|4x\|>=8	$\| 4 x \| \geq 8$
54800	Convert to Interval Notation	64x^3-256x>0	$64 x^{3} - 256 x > 0$