Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
9001	Evaluate the Integral	integral from 0 to pi/6 of 3sec(x)^2 with respect to x	$\int_{0}^{\frac{π}{6}} 3 \sec^{2} (x) d x$
9002	Evaluate the Integral	integral from 0 to square root of pi of xcos(x^2) with respect to x	$\int_{0}^{\sqrt{π}} x \cos (x^{2}) d x$
9003	Evaluate the Integral	integral from 0 to square root of 5 of x/( square root of x^2+4) with respect to x	$\int_{0}^{\sqrt{5}} \frac{x}{\sqrt{x^{2} + 4}} d x$
9004	Evaluate the Integral	integral from 0 to 1 of 5x^2-4x+8 with respect to x	$\int_{0}^{1} 5 x^{2} - 4 x + 8 d x$
9005	Evaluate the Integral	integral from 0 to 1 of x^e+e^x with respect to x	$\int_{0}^{1} x^{e} + e^{x} d x$
9006	Evaluate the Integral	integral from 0 to 1 of v^2cos(v^3) with respect to v	$\int_{0}^{1} v^{2} \cos (v^{3}) d v$
9007	Evaluate the Integral	integral from -1 to 1 of x^2+2 with respect to x	$\int_{- 1}^{1} x^{2} + 2 d x$
9008	Evaluate the Integral	integral from 0 to 1 of x^4 with respect to x	$\int_{0}^{1} x^{4} d x$
9009	Evaluate the Integral	integral from 0 to 1 of e^(x^2) with respect to x	$\int_{0}^{1} e^{x^{2}} d x$
9010	Evaluate the Integral	integral from 0 to 1 of (x^3)/(x^4-1) with respect to x	$\int_{0}^{1} \frac{x^{3}}{x^{4} - 1} d x$
9011	Evaluate the Integral	integral from 0 to 1 of 1/(x+1) with respect to x	$\int_{0}^{1} \frac{1}{x + 1} d x$
9012	Evaluate the Integral	integral from 0 to 1 of 2/(2x^2+3x+1) with respect to x	$\int_{0}^{1} \frac{2}{2 x^{2} + 3 x + 1} d x$
9013	Evaluate the Integral	integral from 0 to 1 of (x^2+1)^10(2x) with respect to x	$\int_{0}^{1} {(x^{2} + 1)}^{10} (2 x) d x$
9014	Evaluate the Integral	integral from 0 to 2 of 3^x with respect to x	$\int_{0}^{2} 3^{x} d x$
9015	Evaluate the Integral	integral from 0 to 2 of 9x^2-8x+1 with respect to x	$\int_{0}^{2} 9 x^{2} - 8 x + 1 d x$
9016	Evaluate the Integral	integral from 0 to 16 of 4 square root of x with respect to x	$\int_{0}^{16} 4 \sqrt{x} d x$
9017	Evaluate the Integral	integral from 0 to 13 of 13-x with respect to x	$\int_{0}^{13} 13 - x d x$
9018	Evaluate the Integral	integral from 0 to 1 of 2xe^(x^2) with respect to x	$\int_{0}^{1} 2 x e^{x^{2}} d x$
9019	Evaluate the Integral	integral from 0 to 1 of xe^(-9x^2) with respect to x	$\int_{0}^{1} x e^{- 9 x^{2}} d x$
9020	Evaluate the Integral	integral from 0 to 1 of 1313 root of x with respect to x	$\int_{0}^{1} 13 \sqrt[13]{x} d x$
9021	Evaluate the Integral	integral from 0 to 1 of 5xe^(2x) with respect to x	$\int_{0}^{1} 5 x e^{2 x} d x$
9022	Evaluate the Integral	integral from 0 to 1 of x square root of 1-x with respect to x	$\int_{0}^{1} x \sqrt{1 - x} d x$
9023	Evaluate the Integral	integral from 0 to 1 of natural log of x^2 with respect to x	$\int_{0}^{1} \ln (x^{2}) d x$
9024	Evaluate the Integral	integral from 0 to 1 of sin(x) with respect to x	$\int_{0}^{1} \sin (x) d x$
9025	Evaluate the Integral	integral from 0 to 10 of 0.3x^2 with respect to x	$\int_{0}^{10} 0.3 x^{2} d x$
9026	Evaluate the Integral	integral from 0 to 8 of 1/( fourth root of 1+x) with respect to x	$\int_{0}^{8} \frac{1}{\sqrt[4]{1 + x}} d x$
9027	Evaluate the Integral	integral from 0 to 8 of 8x-x^2 with respect to x	$\int_{0}^{8} 8 x - x^{2} d x$
9028	Evaluate the Integral	integral from 0 to a of x square root of a^2-x^2 with respect to x	$\int_{0}^{a} x \sqrt{a^{2} - x^{2}} d x$
9029	Evaluate the Integral	integral from 0 to natural log of 2 of 2e^(3x) with respect to x	$\int_{0}^{\ln (2)} 2 e^{3 x} d x$
9030	Evaluate the Integral	integral from 0 to natural log of 2 of (e^x+e^(-x))/3 with respect to x	$\int_{0}^{\ln (2)} \frac{e^{x} + e^{- x}}{3} d x$
9031	Evaluate the Integral	integral from 0 to natural log of 3 of 3e^(3x) with respect to x	$\int_{0}^{\ln (3)} 3 e^{3 x} d x$
9032	Evaluate the Integral	integral from 0 to 4 of 4 square root of x with respect to x	$\int_{0}^{4} 4 \sqrt{x} d x$
9033	Evaluate the Integral	integral from 0 to 4.192 of 120sin(2t) with respect to t	$\int_{0}^{4.192} 120 \sin (2 t) d t$
9034	Evaluate the Integral	integral from 0 to 4 square root of 3 of p((y^4)/256) with respect to y	$\int_{0}^{4 \sqrt{3}} p (\frac{y^{4}}{256}) d y$
9035	Evaluate the Integral	integral from 0 to 5 of 5-x with respect to x	$\int_{0}^{5} 5 - x d x$
9036	Evaluate the Integral	integral from 0 to 5 of 4 cube root of x^2 with respect to x	$\int_{0}^{5} 4 \sqrt[3]{x^{2}} d x$
9037	Evaluate the Integral	integral from 0 to 5 of t square root of 25-t^2 with respect to t	$\int_{0}^{5} t \sqrt{25 - t^{2}} d t$
9038	Evaluate the Integral	integral from 0 to 5 of x/(x^2+10) with respect to x	$\int_{0}^{5} \frac{x}{x^{2} + 10} d x$
9039	Evaluate the Integral	integral from 0 to 6 of f(x) with respect to x	$\int_{0}^{6} f (x) d x$
9040	Evaluate the Integral	integral from 0 to 3 of x square root of x+1 with respect to x	$\int_{0}^{3} x \sqrt{x + 1} d x$
9041	Evaluate the Integral	integral from 0 to 3 of 3x-x^2 with respect to x	$\int_{0}^{3} 3 x - x^{2} d x$
9042	Evaluate the Integral	integral from 0 to 3 of e^(-7x) with respect to x	$\int_{0}^{3} e^{- 7 x} d x$
9043	Evaluate the Integral	integral from 0 to 4 of 8-2x with respect to x	$\int_{0}^{4} 8 - 2 x d x$
9044	Evaluate the Integral	integral from 0 to 4 of -x^2-3x with respect to x	$\int_{0}^{4} - x^{2} - 3 x d x$
9045	Evaluate the Integral	integral from 0 to 2pi of sin(x)+cos(x) with respect to x	$\int_{0}^{2 π} \sin (x) + \cos (x) d x$
9046	Evaluate the Integral	integral from 0 to 2 of 3 square root of 4u+1 with respect to u	$\int_{0}^{2} 3 \sqrt{4 u + 1} d u$
9047	Evaluate the Integral	integral from 1 to square root of 11 of (s^2+ square root of s)/(s^2) with respect to s	$\int_{1}^{\sqrt{11}} \frac{s^{2} + \sqrt{s}}{s^{2}} d s$
9048	Evaluate the Integral	integral from 1 to square root of x of 18t^9 with respect to t	$\int_{1}^{\sqrt{x}} 18 t^{9} d t$
9049	Evaluate the Integral	integral from 0 to pi of (1+cos(7t))^2sin(7t) with respect to t	$\int_{0}^{π} {(1 + \cos (7 t))}^{2} \sin (7 t) d t$
9050	Evaluate the Integral	integral from 0 to pi of 6e^x+9sin(x) with respect to x	$\int_{0}^{π} 6 e^{x} + 9 \sin (x) d x$
9051	Evaluate the Integral	integral from 0 to pi of sec(x/4)^2 with respect to x	$\int_{0}^{π} \sec^{2} (\frac{x}{4}) d x$
9052	Evaluate the Integral	integral from 0 to pi of sin(4x) with respect to x	$\int_{0}^{π} \sin (4 x) d x$
9053	Evaluate the Integral	integral from 0 to pi of x+sin(x) with respect to x	$\int_{0}^{π} x + \sin (x) d x$
9054	Evaluate the Integral	integral from 0 to pi of xcos(3x) with respect to x	$\int_{0}^{π} x \cos (3 x) d x$
9055	Evaluate the Integral	integral from 0 to x of square root of t^3+1 with respect to t	$\int_{0}^{x} \sqrt{t^{3} + 1} d t$
9056	Evaluate the Integral	integral from 0.3 to 1.1 of x^3cot(x^4) with respect to x	$\int_{0.3}^{1.1} x^{3} \cot (x^{4}) d x$
9057	Evaluate the Integral	integral from 0 to pi of xsin(2x) with respect to x	$\int_{0}^{π} x \sin (2 x) d x$
9058	Evaluate the Integral	integral from -1 to 1 of e^(u+1) with respect to u	$\int_{- 1}^{1} e^{u + 1} d u$
9059	Evaluate the Integral	integral from -1 to 1 of e^(x^2) with respect to x	$\int_{- 1}^{1} e^{x^{2}} d x$
9060	Evaluate the Integral	integral from -1 to 1 of e^(-2x) with respect to x	$\int_{- 1}^{1} e^{- 2 x} d x$
9061	Evaluate the Integral	integral from 1 to -1 of (12x+11)^2 with respect to x	$\int_{1}^{- 1} {(12 x + 11)}^{2} d x$
9062	Evaluate the Integral	integral from 1 to 2 of x^2-3 with respect to x	$\int_{1}^{2} x^{2} - 3 d x$
9063	Evaluate the Integral	integral from 1 to 2 of t^5-t^3+1 with respect to t	$\int_{1}^{2} t^{5} - t^{3} + 1 d t$
9064	Evaluate the Integral	integral from 1 to 16 of 5+x^(1/4) with respect to x	$\int_{1}^{16} 5 + x^{\frac{1}{4}} d x$
9065	Evaluate the Integral	integral of sin(4x)^5 with respect to x	$\int \sin^{5} (4 x) d x$
9066	Evaluate the Integral	integral from -1 to 2 of -(-6x-10) with respect to x	$\int_{- 1}^{2} - (- 6 x - 10) d x$
9067	Evaluate the Integral	integral from 1 to 2 of 2e^(-4x)-1/(x^2) with respect to x	$\int_{1}^{2} 2 e^{- 4 x} - \frac{1}{x^{2}} d x$
9068	Evaluate the Integral	integral from 1 to 3 of w^2-4w+5 with respect to w	$\int_{1}^{3} w^{2} - 4 w + 5 d w$
9069	Evaluate the Integral	integral from 1 to 3 of 5n^-2-n^-3 with respect to n	$\int_{1}^{3} 5 n^{- 2} - n^{- 3} d n$
9070	Evaluate the Integral	integral from 1 to 2 of e^x-e with respect to x	$\int_{1}^{2} e^{x} - e d x$
9071	Evaluate the Integral	integral from -1 to 2 of -x^2+4 with respect to x	$\int_{- 1}^{2} - x^{2} + 4 d x$
9072	Evaluate the Integral	integral from 1 to 2 of (x+1/x)^2 with respect to x	$\int_{1}^{2} {(x + \frac{1}{x})}^{2} d x$
9073	Evaluate the Integral	integral of natural log of y with respect to y	$\int \ln (y) d y$
9074	Evaluate the Integral	integral from 1 to 2 of 5/x with respect to x	$\int_{1}^{2} \frac{5}{x} d x$
9075	Evaluate the Integral	integral from 1 to 2 of e-x with respect to x	$\int_{1}^{2} e - x d x$
9076	Evaluate the Integral	integral from 1 to 3 of 1/(4x) with respect to x	$\int_{1}^{3} \frac{1}{4 x} d x$
9077	Evaluate the Integral	integral from -1 to 3 of e^(u+1) with respect to u	$\int_{- 1}^{3} e^{u + 1} d u$
9078	Evaluate the Integral	integral of cot(1/2x) with respect to x	$\int \cot (\frac{1}{2} x) d x$
9079	Evaluate the Integral	integral from 1 to 32 of fifth root of x with respect to x	$\int_{1}^{32} \sqrt[5]{x} d x$
9080	Evaluate the Integral	integral from 1 to 4 of square root of 2/x with respect to x	$\int_{1}^{4} \sqrt{\frac{2}{x}} d x$
9081	Evaluate the Integral	integral from 1 to 4 of (t^8-t^4)/(t^6) with respect to t	$\int_{1}^{4} \frac{t^{8} - t^{4}}{t^{6}} d t$
9082	Evaluate the Integral	integral of 5e^x with respect to x	$\int 5 e^{x} d x$
9083	Evaluate the Integral	integral from 1 to 4 of -4/x with respect to x	$\int_{1}^{4} - \frac{4}{x} d x$
9084	Evaluate the Integral	integral from 1 to 4 of 6x-5 with respect to x	$\int_{1}^{4} 6 x - 5 d x$
9085	Evaluate the Integral	integral from 1 to 4 of (1-u) square root of u with respect to u	$\int_{1}^{4} (1 - u) \sqrt{u} d u$
9086	Evaluate the Integral	integral from 1 to 4 of 5y square root of y+3 square root of y with respect to y	$\int_{1}^{4} 5 y \sqrt{y} + 3 \sqrt{y} d y$
9087	Evaluate the Integral	integral from 1 to 4 of 4x^3-2x^2+3x+1 with respect to x	$\int_{1}^{4} 4 x^{3} - 2 x^{2} + 3 x + 1 d x$
9088	Evaluate the Integral	integral from 1 to 32 of x^(-6/5) with respect to x	$\int_{1}^{32} x^{- \frac{6}{5}} d x$
9089	Evaluate the Integral	integral from 1 to 4 of 1/x-1/(x^2) with respect to x	$\int_{1}^{4} \frac{1}{x} - \frac{1}{x^{2}} d x$
9090	Evaluate the Integral	integral from 2 to 3 of -x^2+5x-6 with respect to x	$\int_{2}^{3} - x^{2} + 5 x - 6 d x$
9091	Evaluate the Integral	integral from 2 to 5 of -3v+4 with respect to v	$\int_{2}^{5} - 3 v + 4 d v$
9092	Evaluate the Integral	integral from 2 to 4 of 3/x with respect to x	$\int_{2}^{4} \frac{3}{x} d x$
9093	Evaluate the Integral	integral from -2 to 2 of (2x+5)-(x^2+2x+1) with respect to x	$\int_{- 2}^{2} (2 x + 5) - (x^{2} + 2 x + 1) d x$
9094	Evaluate the Integral	integral from -2 to 2 of x^2 with respect to x	$\int_{- 2}^{2} x^{2} d x$
9095	Evaluate the Integral	integral from 2 to 3 of x/(x^2-1) with respect to x	$\int_{2}^{3} \frac{x}{x^{2} - 1} d x$
9096	Evaluate the Integral	integral from 2 to 3 of 1/(x^2-1) with respect to x	$\int_{2}^{3} \frac{1}{x^{2} - 1} d x$
9097	Evaluate the Integral	integral from 2 to 1 of 1/(1+t^4) with respect to t	$\int_{2}^{1} \frac{1}{1 + t^{4}} d t$
9098	Evaluate the Integral	integral from -2 to -1 of 5x^-4 with respect to x	$\int_{- 2}^{- 1} 5 x^{- 4} d x$
9099	Evaluate the Integral	integral from -2 to -1 of 8y^3+10/(y^3) with respect to y	$\int_{- 2}^{- 1} 8 y^{3} + \frac{10}{y^{3}} d y$
9100	Evaluate the Integral	integral from -2 to 0 of 4x^2+4x with respect to x	$\int_{- 2}^{0} 4 x^{2} + 4 x d x$