Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
27001	Evaluate the Integral	-1/(3 integral from 0 to 1 of cos(3x-3) with respect to x)	$- \frac{1}{3 \int_{0}^{1} \cos (3 x - 3) d x}$
27002	Evaluate the Integral	1/(3 integral from 0 to 1 of cos(u) with respect to u)	$\frac{1}{3 \int_{0}^{1} \cos (u) d u}$
27003	Evaluate the Integral	50/(3 integral of u^(3/2) with respect to u)	$\frac{50}{3 \int u^{\frac{3}{2}} d u}$
27004	Evaluate the Integral	1/((3-0) integral from 0 to 3 of 0.1729t+0.1522t^2-0.0374t^3 with respect to t)	$\frac{1}{(3 - 0) \int_{0}^{3} 0.1729 t + 0.1522 t^{2} - 0.0374 t^{3} d t}$
27005	Evaluate the Integral	1/(5 integral from 0 to 5 of 5.30sin(wt)^2 with respect to t)	$\frac{1}{5 \int_{0}^{5} 5.3 \sin^{2} (w t) d t}$
27006	Evaluate the Integral	integral of y(y^2+5)^8 with respect to y	$\int y {(y^{2} + 5)}^{8} d y$
27007	Evaluate the Integral	integral of ysin(x) with respect to x	$\int y \sin (x) d x$
27008	Evaluate the Integral	xx^7cos(x^4)dx	$x x^{7} \cos (x^{4}) d x$
27009	Evaluate the Integral	1/(20 integral from 0 to 20 of 0.044t+0.222 with respect to t)	$\frac{1}{20 \int_{0}^{20} 0.044 t + 0.222 d t}$
27010	Evaluate the Integral	integral of y(y^4-2y^3+y^2)^(1/2) with respect to y	$\int y {(y^{4} - 2 y^{3} + y^{2})}^{\frac{1}{2}} d y$
27011	Evaluate the Integral	integral of ysin(y) with respect to y	$\int y \sin (y) d y$
27012	Evaluate the Integral	integral of x natural log of xx with respect to x	$\int x \ln (x) x d x$
27013	Evaluate the Integral	integral of x natural log of 3x with respect to x	$\int x \ln (3 x) d x$
27014	Evaluate the Integral	integral of x natural log of 4x with respect to x	$\int x \ln (4 x) d x$
27015	Evaluate the Integral	integral of xcos(ex) with respect to x	$\int x \cos (e x) d x$
27016	Evaluate the Integral	integral of xcos(xy) with respect to y	$\int x \cos (x y) d y$
27017	Evaluate the Integral	integral of xcot(x^2) with respect to x	$\int x \cot (x^{2}) d x$
27018	Evaluate the Integral	integral of xcot(x^2)csc(x^2) with respect to x	$\int x \cot (x^{2}) \csc (x^{2}) d x$
27019	Evaluate the Limit	limit as x approaches -5 of (x^2-1)/(5-x)	$lim_{x \to - 5} \frac{x^{2} - 1}{5 - x}$
27020	Evaluate the Integral	integral of xcos(9x) with respect to x	$\int x \cos (9 x) d x$
27021	Evaluate the Integral	integral of xcos(7x^2) with respect to x	$\int x \cos (7 x^{2}) d x$
27022	Evaluate the Integral	integral of xcos(3x^2+1) with respect to x	$\int x \cos (3 x^{2} + 1) d x$
27023	Find the Antiderivative	sin(x)^2	$\sin^{2} (x)$
27024	Evaluate the Integral	integral of xcos(10x^2) with respect to x	$\int x \cos (10 x^{2}) d x$
27025	Evaluate the Integral	integral of y+ycos(xy) with respect to x	$\int y + y \cos (x y) d x$
27026	Evaluate the Integral	integral of xsin(1/4x) with respect to x	$\int x \sin (\frac{1}{4} x) d x$
27027	Find the Antiderivative	e^(7x)	$e^{7 x}$
27028	Evaluate the Integral	integral of xsin(x^2)cos(x^2) with respect to x	$\int x \sin (x^{2}) \cos (x^{2}) d x$
27029	Evaluate the Integral	integral of x-sin(x) with respect to x	$\int x - \sin (x) d x$
27030	Evaluate the Integral	integral of y(a-by^2) with respect to y	$\int y (a - b y^{2}) d y$
27031	Evaluate the Integral	integral from pi to 2pi of xsin(x) with respect to x	$\int_{π}^{2 π} x \sin (x) d x$
27032	Evaluate the Integral	integral of (1+10t^7)/(7t) with respect to t	$\int \frac{1 + 10 t^{7}}{7 t} d t$
27033	Evaluate the Integral	integral from -pi to pi of cos(x)^2 with respect to x	$\int_{- π}^{π} \cos^{2} (x) d x$
27034	Evaluate the Integral	integral from p to 2p of x with respect to x	$\int_{p}^{2 p} x d x$
27035	Evaluate the Integral	integral from pi to 2pi of sin(x) with respect to x	$\int_{π}^{2 π} \sin (x) d x$
27036	Evaluate the Integral	integral from pi to 3pi of cot(x/6)^2 with respect to x	$\int_{π}^{3 π} \cot^{2} (\frac{x}{6}) d x$
27037	Evaluate the Integral	integral from pi to (3pi)/4 of 7sec(t)^2 with respect to t	$\int_{π}^{\frac{3 π}{4}} 7 \sec^{2} (t) d t$
27038	Evaluate the Integral	integral of sec(28x+97)tan(28x+97) with respect to x	$\int \sec (28 x + 97) \tan (28 x + 97) d x$
27039	Evaluate the Integral	integral from q to 8 of 1/(x^1.05) with respect to x	$\int_{q}^{8} \frac{1}{x^{1.05}} d x$
27040	Evaluate the Integral	integral of p(p+8)^6 with respect to p	$\int p {(p + 8)}^{6} d p$
27041	Evaluate the Integral	integral of p(p+6)^5 with respect to p	$\int p {(p + 6)}^{5} d p$
27042	Evaluate the Integral	integral of p(p+6)^6 with respect to p	$\int p {(p + 6)}^{6} d p$
27043	Evaluate the Integral	integral of sin(2-3x) with respect to x	$\int \sin (2 - 3 x) d x$
27044	Evaluate the Integral	integral of sin(10pit) with respect to t	$\int \sin (10 π t) d t$
27045	Evaluate the Integral	integral of sin(10x) with respect to x	$\int \sin (10 x) d x$
27046	Evaluate the Integral	integral of sin(-10x) with respect to x	$\int \sin (- 10 x) d x$
27047	Evaluate the Integral	integral of sin(0x)*x^2 with respect to x	$\int \sin (0 x) \cdot x^{2} d x$
27048	Evaluate the Integral	integral of sin(13x) with respect to x	$\int \sin (13 x) d x$
27049	Evaluate the Integral	integral of sin(e^x) with respect to x	$\int \sin (e^{x}) d x$
27050	Evaluate the Integral	integral of sin(x)(cot(x)+csc(x)) with respect to x	$\int \sin (x) (\cot (x) + \csc (x)) d x$
27051	Evaluate the Integral	integral of sin(1/4x) with respect to x	$\int \sin (\frac{1}{4} x) d x$
27052	Evaluate the Integral	integral of sec(x)tan(x)e^(sec(x)) with respect to x	$\int \sec (x) \tan (x) e^{\sec (x)} d x$
27053	Evaluate the Integral	integral of sec(x)(5sec(x)+3tan(x)) with respect to x	$\int \sec (x) (5 \sec (x) + 3 \tan (x)) d x$
27054	Evaluate the Integral	integral of sec(5x) with respect to x	$\int \sec (5 x) d x$
27055	Evaluate the Integral	integral of sec(3t)tan(3t) with respect to t	$\int \sec (3 t) \tan (3 t) d t$
27056	Evaluate the Integral	integral of sec(4)tan(4) with respect to t	$\int \sec (4) \tan (4) d t$
27057	Evaluate the Integral	integral of sec(6x) with respect to x	$\int \sec (6 x) d x$
27058	Evaluate the Integral	integral of sin(x) square root of 1-cos(x) with respect to x	$\int \sin (x) \sqrt{1 - \cos (x)} d x$
27059	Evaluate the Integral	integral of sin(x) square root of 2+3cos(x) with respect to x	$\int \sin (x) \sqrt{2 + 3 \cos (x)} d x$
27060	Evaluate the Integral	integral of sin(x)sec(x)^8 with respect to x	$\int \sin (x) \sec^{8} (x) d x$
27061	Evaluate the Integral	integral of sin(x)cos(x)^5 with respect to x	$\int \sin (x) \cos^{5} (x) d x$
27062	Evaluate the Integral	integral of sin(x)arccos(x) with respect to x	$\int \sin (x) \arccos (x) d x$
27063	Find the Local Maxima and Minima	x^4-242x^2+14641	$x^{4} - 242 x^{2} + 14641$
27064	Evaluate the Integral	integral of sin(x)csc(x) with respect to x	$\int \sin (x) \csc (x) d x$
27065	Evaluate the Integral	integral of sin(x) square root of cos(x) with respect to x	$\int \sin (x) \sqrt{\cos (x)} d x$
27066	Evaluate the Integral	integral of tan(1/2) with respect to x	$\int \tan (\frac{1}{2}) d x$
27067	Evaluate the Integral	integral of tan(pi/9y) with respect to y	$\int \tan (\frac{π}{9} y) d y$
27068	Evaluate the Integral	integral of tsec(5t)^2 with respect to t	$\int t \sec^{2} (5 t) d t$
27069	Evaluate the Integral	integral of tan(2x)sec(2x) with respect to x	$\int \tan (2 x) \sec (2 x) d x$
27070	Evaluate the Integral	integral of tan(2x)sec(2x)^2 with respect to x	$\int \tan (2 x) \sec^{2} (2 x) d x$
27071	Evaluate the Integral	integral of tan(ax) with respect to x	$\int \tan (a x) d x$
27072	Evaluate the Integral	integral of tan(bx) with respect to x	$\int \tan (b x) d x$
27073	Evaluate the Integral	integral of tan(3x)*sec(3x) with respect to x	$\int \tan (3 x) \cdot \sec (3 x) d x$
27074	Evaluate the Integral	integral of tan(4x+2) with respect to x	$\int \tan (4 x + 2) d x$
27075	Evaluate the Integral	integral of sin(2x)sec(2x)^5 with respect to x	$\int \sin (2 x) \sec^{5} (2 x) d x$
27076	Evaluate the Integral	integral of sin(2x)+cos(2x)^2 with respect to x	$\int \sin (2 x) + \cos^{2} (2 x) d x$
27077	Evaluate the Integral	integral of sin(2x)cos(4x) with respect to x	$\int \sin (2 x) \cos (4 x) d x$
27078	Evaluate the Integral	integral of sin(2x)+cos(x) with respect to x	$\int \sin (2 x) + \cos (x) d x$
27079	Evaluate the Integral	integral of sin(x^2)cos(x) with respect to x	$\int \sin (x^{2}) \cos (x) d x$
27080	Evaluate the Integral	integral of sin(2x)*cos(2x) with respect to x	$\int \sin (2 x) \cdot \cos (2 x) d x$
27081	Evaluate the Integral	integral of sin(2x)tan(2x) with respect to x	$\int \sin (2 x) \tan (2 x) d x$
27082	Evaluate the Integral	integral of sin(2x-5) with respect to x	$\int \sin (2 x - 5) d x$
27083	Evaluate the Integral	integral of sin(300)+cos(200) with respect to x	$\int \sin (300) + \cos (200) d x$
27084	Evaluate the Integral	integral of sin(3t) with respect to t	$\int \sin (3 t) d t$
27085	Evaluate the Integral	integral of sin(4) with respect to x	$\int \sin (4) d x$
27086	Evaluate the Integral	integral of sin(3y)+cos(2y) with respect to y	$\int \sin (3 y) + \cos (2 y) d y$
27087	Evaluate the Integral	integral of sin(4pit) with respect to t	$\int \sin (4 π t) d t$
27088	Evaluate the Integral	integral of sin(4u) with respect to u	$\int \sin (4 u) d u$
27089	Evaluate the Integral	integral of sin(4x)*cos(4x) with respect to x	$\int \sin (4 x) \cdot \cos (4 x) d x$
27090	Evaluate the Integral	integral of sin(4x)e^(cos(4x)) with respect to x	$\int \sin (4 x) e^{\cos (4 x)} d x$
27091	Evaluate the Integral	integral of sin(5t)cos(5t) with respect to t	$\int \sin (5 t) \cos (5 t) d t$
27092	Evaluate the Integral	integral of sin(t)sec(cos(t))^2 with respect to t	$\int \sin (t) \sec^{2} (\cos (t)) d t$
27093	Evaluate the Integral	integral of sin(-x) with respect to x	$\int \sin (- x) d x$
27094	Evaluate the Integral	integral of sin(2x)+cos(2x) with respect to x	$\int \sin (2 x) + \cos (2 x) d x$
27095	Evaluate the Integral	integral of sin(9pit) with respect to t	$\int \sin (9 π t) d t$
27096	Evaluate the Integral	integral of sin(9t) with respect to t	$\int \sin (9 t) d t$
27097	Evaluate the Integral	integral of sin(9x-2) with respect to x	$\int \sin (9 x - 2) d x$
27098	Evaluate the Integral	integral of sin(5x)cos(5x) with respect to x	$\int \sin (5 x) \cos (5 x) d x$
27099	Evaluate the Integral	integral of sin(5x-2) with respect to x	$\int \sin (5 x - 2) d x$
27100	Evaluate the Integral	integral of sin(5x-7) with respect to x	$\int \sin (5 x - 7) d x$