Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
28801	Evaluate the Integral	integral of (2-3x)^5 with respect to x	$\int {(2 - 3 x)}^{5} d x$
28802	Evaluate the Integral	integral of (20x^3)/(2+5x^4) with respect to x	$\int \frac{20 x^{3}}{2 + 5 x^{4}} d x$
28803	Evaluate the Integral	integral of (2-4x^2)^2(-8x) with respect to x	$\int {(2 - 4 x^{2})}^{2} (- 8 x) d x$
28804	Evaluate the Integral	integral of (2x+1)/(2x) with respect to x	$\int \frac{2 x + 1}{2 x} d x$
28805	Evaluate the Integral	integral of (2x-5)^2 with respect to x	$\int {(2 x - 5)}^{2} d x$
28806	Evaluate the Integral	integral of (2x-1)^7 with respect to x	$\int {(2 x - 1)}^{7} d x$
28807	Evaluate the Integral	integral of (2x-1)^-8 with respect to x	$\int {(2 x - 1)}^{- 8} d x$
28808	Evaluate the Integral	integral of (2x-3)^5 with respect to x	$\int {(2 x - 3)}^{5} d x$
28809	Evaluate the Integral	integral of (2x-1)/( square root of 5-3x^2) with respect to x	$\int \frac{2 x - 1}{\sqrt{5 - 3 x^{2}}} d x$
28810	Evaluate the Integral	integral of z- square root of 15 with respect to z	$\int z - \sqrt{15} d z$
28811	Evaluate the Integral	integral of -0.25sin(2.5t) with respect to t	$\int - 0.25 \sin (2.5 t) d t$
28812	Evaluate the Integral	integral from 0.5 to 0.8 of x^4cot(x^5) with respect to x	$\int_{0.5}^{0.8} x^{4} \cot (x^{5}) d x$
28813	Evaluate the Integral	integral from 0.6 to 0.9 of x^4cot(x^5) with respect to x	$\int_{0.6}^{0.9} x^{4} \cot (x^{5}) d x$
28814	Evaluate the Integral	integral of (x-4)(8x+6) with respect to x	$\int (x - 4) (8 x + 6) d x$
28815	Evaluate the Integral	integral of y-1 with respect to y	$\int y - 1 d y$
28816	Evaluate the Integral	integral from 0.5 to 4 of x^3-6x^2+9x+1 with respect to x	$\int_{0.5}^{4} x^{3} - 6 x^{2} + 9 x + 1 d x$
28817	Evaluate the Integral	integral of 0.6y^5 with respect to y	$\int 0.6 y^{5} d y$
28818	Evaluate the Integral	integral from 0.8 to 2.3 of cube root of x-4 with respect to x	$\int_{0.8}^{2.3} \sqrt[3]{x - 4} d x$
28819	Evaluate the Integral	integral of (x+3)(x-1)^5 with respect to x	$\int (x + 3) {(x - 1)}^{5} d x$
28820	Evaluate the Integral	integral of (x+19) square root of 38x+x^2 with respect to x	$\int (x + 19) \sqrt{38 x + x^{2}} d x$
28821	Evaluate the Integral	integral of (x+1)e^x with respect to x	$\int (x + 1) e^{x} d x$
28822	Evaluate the Integral	integral of 9x^2-4x+4 with respect to x	$\int 9 x^{2} - 4 x + 4 d x$
28823	Evaluate the Integral	integral of x-e^(4x) with respect to x	$\int x - e^{4 x} d x$
28824	Evaluate the Integral	integral of (t+7)e^(2t+3) with respect to t	$\int (t + 7) e^{2 t + 3} d t$
28825	Evaluate the Integral	integral of tan(x)+cot(x) with respect to x	$\int \tan (x) + \cot (x) d x$
28826	Evaluate the Integral	integral of sin(2x)-cos(3x) with respect to x	$\int \sin (2 x) - \cos (3 x) d x$
28827	Evaluate the Integral	integral of (t+1)(t^2-4) with respect to t	$\int (t + 1) (t^{2} - 4) d t$
28828	Evaluate the Integral	integral of (ax^2-b)^5 with respect to x	$\int {(a x^{2} - b)}^{5} d x$
28829	Evaluate the Integral	integral of (10x^4+4)^2*(8x^3) with respect to x	$\int {(10 x^{4} + 4)}^{2} \cdot (8 x^{3}) d x$
28830	Evaluate the Integral	integral of (2.3^x+3.2^x)/(5^x) with respect to x+x	$\int \frac{{2.3}^{x} + {3.2}^{x}}{5^{x}} d x + x$
28831	Evaluate the Integral	integral of (e^x+1)^3e^x with respect to x	$\int {(e^{x} + 1)}^{3} e^{x} d x$
28832	Evaluate the Integral	integral of (e^(3x))/(e^(3x)-1) with respect to x	$\int \frac{e^{3 x}}{e^{3 x} - 1} d x$
28833	Evaluate the Integral	integral of ( square root of a- square root of x)^2 with respect to x	$\int {(\sqrt{a} - \sqrt{x})}^{2} d x$
28834	Evaluate the Integral	integral of (a^(2/3)-x^(2/3))^(3/2) with respect to x	$\int {(a^{\frac{2}{3}} - x^{\frac{2}{3}})}^{\frac{3}{2}} d x$
28835	Evaluate the Integral	integral of (x^2+12x+12)/(x^3-4x) with respect to x	$\int \frac{x^{2} + 12 x + 12}{x^{3} - 4 x} d x$
28836	Evaluate the Integral	integral of (x^2+1)/(x^4+1) with respect to x	$\int \frac{x^{2} + 1}{x^{4} + 1} d x$
28837	Evaluate the Integral	integral of (x^2-4)^2(2x) with respect to x	$\int {(x^{2} - 4)}^{2} (2 x) d x$
28838	Evaluate the Integral	integral of (x^2-4)^3 with respect to x	$\int {(x^{2} - 4)}^{3} d x$
28839	Evaluate the Integral	integral of (2y^4)/(y^5+1) with respect to y	$\int \frac{2 y^{4}}{y^{5} + 1} d y$
28840	Evaluate the Integral	integral of (1/2x^4-x^3-5x-7)/(x+2) with respect to x	$\int \frac{\frac{1}{2} x^{4} - x^{3} - 5 x - 7}{x + 2} d x$
28841	Evaluate the Integral	integral of (3^x)/( natural log of 3) with respect to x	$\int \frac{3^{x}}{\ln (3)} d x$
28842	Evaluate the Integral	integral of (e^( square root of 7x))/( square root of 7x) with respect to x	$\int \frac{e^{\sqrt{7 x}}}{\sqrt{7 x}} d x$
28843	Evaluate the Summation	sum from n=1 to 5 of 2n+5	$\sum_{n = 1}^{5} 2 n + 5$
28844	Evaluate the Integral	integral of (( natural log of x)^2)/(2x) with respect to x	$\int \frac{\ln^{2} (x)}{2 x} d x$
28845	Evaluate the Integral	integral of (e^(1/y))/(y^2) with respect to y	$\int \frac{e^{\frac{1}{y}}}{y^{2}} d y$
28846	Evaluate the Integral	integral of (e^(1/t))/(t^2) with respect to x	$\int \frac{e^{\frac{1}{t}}}{t^{2}} d x$
28847	Evaluate the Integral	integral of (cot(t)^3)/(csc(t)) with respect to t	$\int \frac{\cot^{3} (t)}{\csc (t)} d t$
28848	Evaluate the Integral	integral of (3^(2x))/(1+3^(2x)) with respect to x	$\int \frac{3^{2 x}}{1 + 3^{2 x}} d x$
28849	Evaluate the Integral	integral of ((1-x^2)^(3/2))/(x^6) with respect to x	$\int \frac{{(1 - x^{2})}^{\frac{3}{2}}}{x^{6}} d x$
28850	Evaluate the Integral	integral of ((y+1)^2)/y with respect to y	$\int \frac{{(y + 1)}^{2}}{y} d y$
28851	Evaluate the Integral	integral of (sin(y)^5(y))/( square root of cos(y)) with respect to y	$\int \frac{\sin^{5} (y) (y)}{\sqrt{\cos (y)}} d y$
28852	Evaluate the Integral	integral of ((x-2)^3)/(x^2) with respect to x	$\int \frac{{(x - 2)}^{3}}{x^{2}} d x$
28853	Evaluate the Integral	integral of ((x+3)^2)/(x+2) with respect to x	$\int \frac{{(x + 3)}^{2}}{x + 2} d x$
28854	Evaluate the Integral	integral of ((t+3)^2)/(t^2) with respect to t	$\int \frac{{(t + 3)}^{2}}{t^{2}} d t$
28855	Evaluate the Integral	integral of ((u+1)^3)/(u^2) with respect to u	$\int \frac{{(u + 1)}^{3}}{u^{2}} d u$
28856	Evaluate the Integral	integral of (( natural log of 2x)^2)/x with respect to x	$\int \frac{\ln^{2} (2 x)}{x} d x$
28857	Evaluate the Summation	sum from K=3 to 13 of 12K-62	$\sum_{K = 3}^{13} 12 K - 62$
28858	Evaluate the Integral	integral of (e^x-5x)/8 with respect to x	$\int \frac{e^{x} - 5 x}{8} d x$
28859	Evaluate the Summation	sum from k=1 to 6 of (-3)(2)^k	$\sum_{k = 1}^{6} (- 3) {(2)}^{k}$
28860	Evaluate the Integral	integral of (e^x)/( square root of 1-25e^(2x)) with respect to x	$\int \frac{e^{x}}{\sqrt{1 - 25 e^{2 x}}} d x$
28861	Evaluate the Integral	integral of (e^x)/( square root of 1-4e^(2x)) with respect to x	$\int \frac{e^{x}}{\sqrt{1 - 4 e^{2 x}}} d x$
28862	Evaluate the Integral	integral of ( natural log of (z)^2)/z with respect to z	$\int \frac{\ln ({(z)}^{2})}{z} d z$
28863	Evaluate the Integral	integral of ( natural log of (z)^4)/z with respect to z	$\int \frac{\ln ({(z)}^{4})}{z} d z$
28864	Evaluate the Integral	integral of (sec(3 square root of x)^2)/( square root of x) with respect to x	$\int \frac{\sec^{2} (3 \sqrt{x})}{\sqrt{x}} d x$
28865	Evaluate the Integral	integral of (sec(5x)^2)/(3+tan(5x)) with respect to x	$\int \frac{\sec^{2} (5 x)}{3 + \tan (5 x)} d x$
28866	Evaluate the Integral	integral of ( natural log of (x)^40)/x with respect to x	$\int \frac{\ln ({(x)}^{40})}{x} d x$
28867	Evaluate the Integral	integral of ( natural log of (x)^11)/x with respect to x	$\int \frac{\ln ({(x)}^{11})}{x} d x$
28868	Evaluate the Integral	integral of ( log base 7 of x)/x with respect to x	$\int \frac{\log_{7} (x)}{x} d x$
28869	Evaluate the Integral	integral of (e^(7 square root of r))/( square root of r) with respect to r	$\int \frac{e^{7 \sqrt{r}}}{\sqrt{r}} d r$
28870	Evaluate the Integral	integral of (e^(6x))/(e^(6x)+3) with respect to x	$\int \frac{e^{6 x}}{e^{6 x} + 3} d x$
28871	Evaluate the Integral	integral of (e^(sin(x)))/(sec(x)) with respect to x	$\int \frac{e^{\sin (x)}}{\sec (x)} d x$
28872	Evaluate the Integral	integral of (e^t)/(e^t-1) with respect to t	$\int \frac{e^{t}}{e^{t} - 1} d t$
28873	Evaluate the Integral	integral of (e^u)/((7-e^u)^2) with respect to u	$\int \frac{e^{u}}{{(7 - e^{u})}^{2}} d u$
28874	Evaluate the Integral	integral of (e^x)/((e^x+1)^3) with respect to x	$\int \frac{e^{x}}{{(e^{x} + 1)}^{3}} d x$
28875	Evaluate the Integral	integral of (e^( sixth root of y))/( square root of y) with respect to y	$\int \frac{e^{\sqrt[6]{y}}}{\sqrt{y}} d y$
28876	Evaluate the Integral	integral of (e^(2 square root of y))/( square root of y) with respect to y	$\int \frac{e^{2 \sqrt{y}}}{\sqrt{y}} d y$
28877	Evaluate the Integral	integral of (e^(-2 square root of y))/( square root of y) with respect to y	$\int \frac{e^{- 2 \sqrt{y}}}{\sqrt{y}} d y$
28878	Evaluate the Integral	integral of (e^(2x))/( square root of 1-e^(2x)) with respect to x	$\int \frac{e^{2 x}}{\sqrt{1 - e^{2 x}}} d x$
28879	Evaluate the Integral	integral of (e^(-0.04x))/(7-e^(-0.04x)) with respect to x	$\int \frac{e^{- 0.04 x}}{7 - e^{- 0.04 x}} d x$
28880	Evaluate the Integral	integral of (e^(3x))/(1+e^(3x)) with respect to x	$\int \frac{e^{3 x}}{1 + e^{3 x}} d x$
28881	Evaluate the Integral	integral of (e^(3 square root of y))/( square root of y) with respect to y	$\int \frac{e^{3 \sqrt{y}}}{\sqrt{y}} d y$
28882	Evaluate the Integral	integral of (e^(2x))/( square root of 9-4e^(4x)) with respect to x	$\int \frac{e^{2 x}}{\sqrt{9 - 4 e^{4 x}}} d x$
28883	Evaluate the Integral	integral of (7x)/(x^2-8) with respect to x	$\int \frac{7 x}{x^{2} - 8} d x$
28884	Evaluate the Integral	integral of (6x-1)^3 with respect to x	$\int {(6 x - 1)}^{3} d x$
28885	Evaluate the Integral	integral of (7x)^5v((7x)^3+1) with respect to x	$\int {(7 x)}^{5} v ({(7 x)}^{3} + 1) d x$
28886	Evaluate the Integral	integral of (7x+2)/((14x^2+8x)^3) with respect to x	$\int \frac{7 x + 2}{{(14 x^{2} + 8 x)}^{3}} d x$
28887	Evaluate the Integral	integral of (7x-2)^3 with respect to x	$\int {(7 x - 2)}^{3} d x$
28888	Evaluate the Integral	integral of (5x+3)^2 with respect to x	$\int {(5 x + 3)}^{2} d x$
28889	Evaluate the Integral	integral of (5x+4)^5 with respect to x	$\int {(5 x + 4)}^{5} d x$
28890	Evaluate the Integral	integral of (5x-3)^2 with respect to x	$\int {(5 x - 3)}^{2} d x$
28891	Evaluate the Integral	integral of (6x)/((1-2x^2)^2) with respect to x	$\int \frac{6 x}{{(1 - 2 x^{2})}^{2}} d x$
28892	Evaluate the Integral	integral of (6x-7)^-8 with respect to x	$\int {(6 x - 7)}^{- 8} d x$
28893	Evaluate the Integral	integral of (3x-2)/((2x^3-4x)^(5/2)) with respect to x	$\int \frac{3 x - 2}{{(2 x^{3} - 4 x)}^{\frac{5}{2}}} d x$
28894	Evaluate the Integral	integral of (3x-5)^4 with respect to x	$\int {(3 x - 5)}^{4} d x$
28895	Evaluate the Integral	integral of (3x-7)^2 with respect to x	$\int {(3 x - 7)}^{2} d x$
28896	Evaluate the Integral	integral of (4t^2+3)^2 with respect to t	$\int {(4 t^{2} + 3)}^{2} d t$
28897	Evaluate the Integral	integral of (4x+3)^2 with respect to x	$\int {(4 x + 3)}^{2} d x$
28898	Evaluate the Integral	integral of (5x^2+1)^2(10x) with respect to x	$\int {(5 x^{2} + 1)}^{2} (10 x) d x$
28899	Evaluate the Integral	integral of (sec(x)+cot(x))^2 with respect to x	$\int {(\sec (x) + \cot (x))}^{2} d x$
28900	Evaluate the Integral	integral of ( natural log of 8x)^2 with respect to x	$\int \ln^{2} (8 x) d x$