Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
11501	Find the Integral	xarctan(x)	$x \arctan (x)$
11502	Combine	cos(B)cot(B)-tan(B)	$\cos (B) \cot (B) - \tan (B)$
11503	Find the Integral	sec(5x)tan(5x)	$\sec (5 x) \tan (5 x)$
11504	Find the Integral	-pisin(pix)	$- π \sin (π x)$
11505	Find the Integral	2x-1	$2 x - 1$
11506	Find the Integral	arctan(x)	$\arctan (x)$
11507	Find the Integral	9x	$9 x$
11508	Find the Integral	8	$8$
11509	Find the Integral	9x^2	$9 x^{2}$
11510	Find the Integral	7e^(-0.35x)	$7 e^{- 0.35 x}$
11511	Find the Integral	8t^3+5	$8 t^{3} + 5$
11512	Find the Integral	sin(ax)	$\sin (a x)$
11513	Find the Integral	sin(pix)	$\sin (π x)$
11514	Find the Integral	sin(x)+cos(x)	$\sin (x) + \cos (x)$
11515	Find the Integral	t	$t$
11516	Find the Integral	t(t^2+1)	$t (t^{2} + 1)$
11517	Convert to Interval Notation	x^2-5x-14<0	$x^{2} - 5 x - 14 < 0$
11518	Convert to Interval Notation	x^2-5x-24<0	$x^{2} - 5 x - 24 < 0$
11519	Convert to Interval Notation	x^3<64x	$x^{3} < 64 x$
11520	Convert to Interval Notation	\|2x-4\|<6	$\| 2 x - 4 \| < 6$
11521	Convert to Interval Notation	x^2+6x+9>0	$x^{2} + 6 x + 9 > 0$
11522	Convert to Interval Notation	(2x+4)/(3x-2)<1	$\frac{2 x + 4}{3 x - 2} < 1$
11523	Convert to Interval Notation	(x-4)/(x^2+2x)<0	$\frac{x - 4}{x^{2} + 2 x} < 0$
11524	Convert to Interval Notation	12.5n<9n+300	$12.5 n < 9 n + 300$
11525	Convert to Interval Notation	12x^2-7x-12<0	$12 x^{2} - 7 x - 12 < 0$
11526	Convert to Interval Notation	180<x<270	$180 < x < 270$
11527	Convert to Interval Notation	2+x<9x+6	$2 + x < 9 x + 6$
11528	Convert to Interval Notation	2x+1>4x-3	$2 x + 1 > 4 x - 3$
11529	Convert to Interval Notation	2x-4>8x+2	$2 x - 4 > 8 x + 2$
11530	Convert to Interval Notation	tan(x)>=1	$\tan (x) \geq 1$
11531	Convert to Interval Notation	(x-1)^2(8-2x)>0	${(x - 1)}^{2} (8 - 2 x) > 0$
11532	Convert to Interval Notation	(x-2)^2(24-4x)>0	${(x - 2)}^{2} (24 - 4 x) > 0$
11533	Convert to Interval Notation	\|3-1/x\|<1/2	$\| 3 - \frac{1}{x} \| < \frac{1}{2}$
11534	Convert to Interval Notation	\|(7x+28)/4\|>7	$\| \frac{7 x + 28}{4} \| > 7$
11535	Convert to Interval Notation	\|x-4\|<2	$\| x - 4 \| < 2$
11536	Simplify	square root of 6-5/( square root of 6)+22/(( square root of 6)^3)	$\sqrt{6} - \frac{5}{\sqrt{6}} + \frac{22}{{(\sqrt{6})}^{3}}$
11537	Convert to Interval Notation	sin(2x)>=sin(x)	$\sin (2 x) \geq \sin (x)$
11538	Find the Integral	2x^2-x+6-x^2+3x-2	$2 x^{2} - x + 6 - x^{2} + 3 x - 2$
11539	Combine	5/(2x)-5/(3x+15)	$\frac{5}{2 x} - \frac{5}{3 x + 15}$
11540	Find the Integral	xdx	$x d x$
11541	Evaluate Using the Given Value	a=1 , b=1 , u(n)u(n-2)+u(n-1)	$a = 1$ , $b = 1$ , $u (n) u (n - 2) + u (n - 1)$
11542	Evaluate Using the Given Value	y=2-3x^2 , -2	$y = 2 - 3 x^{2}$ , $- 2$
11543	Find the Antiderivative	e^(12x)	$e^{12 x}$
11544	Find the Integral	(x^2-1)dx-(y^2+x)dy	$(x^{2} - 1) d x - (y^{2} + x) d y$
11545	Find the Integral	(3x^2+1)(x^3+x)^2	$(3 x^{2} + 1) {(x^{3} + x)}^{2}$
11546	Find the Integral	e^(2u)	$e^{2 u}$
11547	Evaluate Using the Given Value	p(6)=1 , 0e^(0.1912(6))	$p (6) = 1$ , $0 e^{0.1912 (6)}$
11548	Find the Integral	0.05t^3-4t+60	$0.05 t^{3} - 4 t + 60$
11549	Find the Integral	-0.05x+25	$- 0.05 x + 25$
11550	Evaluate Using the Given Value	f(-3) = square root of -3+3-3	$f (- 3) = \sqrt{- 3 + 3 - 3}$
11551	Find the Integral	(6e^2)-6	$(6 e^{2}) - 6$
11552	Find the Integral	(e^(-2x)+1)^3	${(e^{- 2 x} + 1)}^{3}$
11553	Find the Integral	(x^2-1)^2	${(x^{2} - 1)}^{2}$
11554	Find the Integral	(12x+5)^2	${(12 x + 5)}^{2}$
11555	Find the Integral	(2x-1)^3	${(2 x - 1)}^{3}$
11556	Find the Integral	(3x-5)^4	${(3 x - 5)}^{4}$
11557	Find the Integral	(5-x^2-1/4x^2)^2	${(5 - x^{2} - \frac{1}{4} x^{2})}^{2}$
11558	Find the Integral	1/(1-sin(x))+1/(1+sin(x))	$\frac{1}{1 - \sin (x)} + \frac{1}{1 + \sin (x)}$
11559	Find the Integral	(x^5)/20-(x^4)/4-(2x^3)/3	$\frac{x^{5}}{20} - \frac{x^{4}}{4} - \frac{2 x^{3}}{3}$
11560	Find the Integral	1/3*(prh^2)	$\frac{1}{3} \cdot (p r h^{2})$
11561	Evaluate Using the Given Value	p=5 , 0-10q^2	$p = 5$ , $0 - 10 q^{2}$
11562	Evaluate Using the Given Value	y=12px^2*0 , b	$y = 12 p x^{2} \cdot 0$ , $b$
11563	Evaluate Using the Given Value	(2x^2-3x+2)(2-4x-x^2) , x=-3	$(2 x^{2} - 3 x + 2) (2 - 4 x - x^{2})$ , $x = - 3$
11564	Find the Integral	cos(2x)^2	$\cos^{2} (2 x)$
11565	Find the Integral	cos(x)^2-sin(x)^2	$\cos^{2} (x) - \sin^{2} (x)$
11566	Factor by Grouping	x^2-2x-4	$x^{2} - 2 x - 4$
11567	Find the Integral	cos(2x)^3sin(2x)^2dx	$\cos^{3} (2 x) \sin^{2} (2 x) d x$
11568	Find the Integral	2.3/x+1	$\frac{2.3}{x} + 1$
11569	Find the Integral	5/x	$\frac{5}{x}$
11570	Find the Integral	9/x	$\frac{9}{x}$
11571	Find the Integral	(dx)/((2+cos(x)-2sin(x))sin(x))	$\frac{d x}{(2 + \cos (x) - 2 \sin (x)) \sin (x)}$
11572	Find the Integral	cos(2x)^4	$\cos^{4} (2 x)$
11573	Find the Integral	e^(0.5x)	$e^{0.5 x}$
11574	Find the Integral	4/( square root of x)+e^(3x)+2/x	$\frac{4}{\sqrt{x}} + e^{3 x} + \frac{2}{x}$
11575	Find the Integral	2/(x^2+1)*(dx)	$\frac{2}{x^{2} + 1} \cdot (d x)$
11576	Find the Integral	(e^(-x)+4e^(2x))dx	$(e^{- x} + 4 e^{2 x}) d x$
11577	Find the Integral	(1+cos(2x))/2	$\frac{1 + \cos (2 x)}{2}$
11578	Find the Integral	17/2((2)^2arcsec(2))-17/2((2 square root of 3)^2arcsec(2 square root of 3))	$\frac{17}{2} \cdot ({(2)}^{2} arcsec (2)) - \frac{17}{2} \cdot ({(2 \sqrt{3})}^{2} arcsec (2 \sqrt{3}))$
11579	Find the Integral	1/9x^(-8/9)	$\frac{1}{9} x^{- \frac{8}{9}}$
11580	Find the Integral	10/( square root of x)+10 square root of x	$\frac{10}{\sqrt{x}} + 10 \sqrt{x}$
11581	Find the Integral	e^(2x)+2+e^(-2x)	$e^{2 x} + 2 + e^{- 2 x}$
11582	Find the Integral	e^(-3x)	$e^{- 3 x}$
11583	Find the Integral	e^(3x)dx	$e^{3 x} d x$
11584	Find the Integral	e^(7x)	$e^{7 x}$
11585	Find the Integral	(sin(2x))/(sin(x))	$\frac{\sin (2 x)}{\sin (x)}$
11586	Find the Tangent Line at x=1	f(x) = natural log of 2-x^2+2x^4 ; x=1	$\frac{\sin (4 x)}{\cos (2 x)}$
11587	Find the Integral	sin(x)^2cos(x)	$\sin^{2} (x) \cos (x)$
11588	Find the Integral	sec(t)^2	$\sec^{2} (t)$
11589	Find the Integral	e^(5x)	$e^{5 x}$
11590	Find the Integral	x^(1/4)	$x^{\frac{1}{4}}$
11591	Find the Integral	tan(x)^6	$\tan^{6} (x)$
11592	Find the Integral	x^(3/4)	$x^{\frac{3}{4}}$
11593	Find the Integral	x^2e^(x-1)	$x^{2} e^{x - 1}$
11594	Find the Integral	x^2+y^2	$x^{2} + y^{2}$
11595	Find the Integral	6e^2-6	$6 e^{2} - 6$
11596	Find the Integral	5x^3	$5 x^{3}$
11597	Find the Integral	3x(2x+3)^-0.5	$3 x {(2 x + 3)}^{- 0.5}$
11598	Find the Integral	-2x	$- 2 x$
11599	Find the Integral	2x^2-4x	$2 x^{2} - 4 x$
11600	Find the Integral	3e^t+2sin(t)	$3 e^{t} + 2 \sin (t)$