Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
85301	Integrate Using u-Substitution	integral from 1 to 4 of (e^( square root of x))/( square root of x) with respect to x	$\int_{1}^{4} \frac{e^{\sqrt{x}}}{\sqrt{x}} d x$
85302	Integrate Using u-Substitution	integral of natural log of x with respect to x	$\int \ln (x) d x$
85303	Integrate Using u-Substitution	integral of 1/(x^2) with respect to x	$\int \frac{1}{x^{2}} d x$
85304	Integrate Using u-Substitution	integral of cos(x)^2 with respect to x	$\int \cos^{2} (x) d x$
85305	Integrate Using u-Substitution	integral of cos(x)^3sin(x) with respect to x	$\int \cos^{3} (x) \sin (x) d x$
85306	Integrate Using u-Substitution	integral of tan(x)sec(x)^2 with respect to x	$\int \tan (x) \sec^{2} (x) d x$
85307	Integrate Using u-Substitution	integral from 1 to 5 of x/( square root of 2x-1) with respect to x	$\int_{1}^{5} \frac{x}{\sqrt{2 x - 1}} d x$
85308	Integrate Using u-Substitution	integral of sin(x)^3cos(x) with respect to x	$\int \sin^{3} (x) \cos (x) d x$
85309	Integrate Using u-Substitution	integral of sin(x)^3cos(x) with respect to x	$\int \sin^{3} (x) \cos (x) d x$
85310	Integrate Using u-Substitution	integral of (x+1) square root of 2-x with respect to x	$\int (x + 1) \sqrt{2 - x} d x$
85311	Integrate Using u-Substitution	integral of x square root of 2x-1 with respect to x	$\int x \sqrt{2 x - 1} d x$
85312	Integrate Using u-Substitution	integral of x square root of 4-x with respect to x	$\int x \sqrt{4 - x} d x$
85313	Integrate Using u-Substitution	integral of sin(x)cos(x) with respect to x	$\int \sin (x) \cos (x) d x$
85314	Integrate Using u-Substitution	integral of xsin(x^2) with respect to x	$\int x \sin (x^{2}) d x$
85315	Integrate Using u-Substitution	integral of square root of 25-x^2(-2x) with respect to x	$\int \sqrt{25 - x^{2}} (- 2 x) d x$
85316	Integrate Using u-Substitution	integral of (e^(1/x))/(x^2) with respect to x	$\int \frac{e^{\frac{1}{x}}}{x^{2}} d x$
85317	Integrate Using u-Substitution	integral of x square root of x^2+1 with respect to x	$\int x \sqrt{x^{2} + 1} d x$
85318	Integrate Using u-Substitution	integral from 0 to 1 of (4x)/( square root of 1-x^4) with respect to x	$\int_{0}^{1} \frac{4 x}{\sqrt{1 - x^{4}}} d x$
85319	Integrate Using u-Substitution	integral of cos(x)^2 with respect to x	$\int \cos^{2} (x) d x$
85320	Integrate Using u-Substitution	integral of sin(x)^3 with respect to x	$\int \sin^{3} (x) d x$
85321	Integrate Using u-Substitution	integral of tan(x)^2sec(x)^2 with respect to x	$\int \tan^{2} (x) \sec^{2} (x) d x$
85322	Integrate Using u-Substitution	integral of xsin(x^2) with respect to x	$\int x \sin (x^{2}) d x$
85323	Integrate Using u-Substitution	integral of sin(4x)cos(4x) with respect to x	$\int \sin (4 x) \cos (4 x) d x$
85324	Integrate Using u-Substitution	integral of x^2cos(x^3) with respect to x	$\int x^{2} \cos (x^{3}) d x$
85325	Integrate Using u-Substitution	integral of cos(x)^3 with respect to x	$\int \cos^{3} (x) d x$
85326	Integrate Using u-Substitution	integral of (cos( square root of x))/( square root of x) with respect to x	$\int \frac{\cos (\sqrt{x})}{\sqrt{x}} d x$
85327	Integrate Using u-Substitution	integral of (cos(x))/(sin(x)^2) with respect to x	$\int \frac{\cos (x)}{\sin^{2} (x)} d x$
85328	Integrate Using u-Substitution	integral of (6x^2+x)csc(4x^3+x^2)^2 with respect to x	$\int (6 x^{2} + x) \csc^{2} (4 x^{3} + x^{2}) d x$
85329	Integrate Using u-Substitution	integral of x/(x^2+1) with respect to x	$\int \frac{x}{x^{2} + 1} d x$
85330	Integrate Using u-Substitution	integral of xe^(2x) with respect to x	$\int x e^{2 x} d x$
85331	Integrate Using u-Substitution	integral of x^3(2+x^4)^5 with respect to x	$\int x^{3} {(2 + x^{4})}^{5} d x$
85332	Integrate Using u-Substitution	integral of square root of 25-x^2 with respect to x	$\int \sqrt{25 - x^{2}} d x$
85333	Integrate Using u-Substitution	integral of (e^(1/(x^3)))/(x^4) with respect to x	$\int \frac{e^{\frac{1}{x^{3}}}}{x^{4}} d x$
85334	Integrate Using u-Substitution	integral of x/( square root of 16-x^2) with respect to x	$\int \frac{x}{\sqrt{16 - x^{2}}} d x$
85335	Integrate Using u-Substitution	integral of (e^( square root of x))/( square root of x) with respect to x	$\int \frac{e^{\sqrt{x}}}{\sqrt{x}} d x$
85336	Integrate Using u-Substitution	integral of (e^x)/(1+e^x) with respect to x	$\int \frac{e^{x}}{1 + e^{x}} d x$
85337	Integrate Using u-Substitution	integral of natural log of x with respect to x	$\int \ln (x) d x$
85338	Integrate Using u-Substitution	integral of x/( square root of x-1) with respect to x	$\int \frac{x}{\sqrt{x - 1}} d x$
85339	Integrate Using u-Substitution	integral of x natural log of x with respect to x	$\int x \ln (x) d x$
85340	Integrate Using u-Substitution	integral of e^x square root of 1+e^x with respect to x	$\int e^{x} \sqrt{1 + e^{x}} d x$
85341	Integrate Using u-Substitution	integral of (x^3)/((1+x^4)^2) with respect to x	$\int \frac{x^{3}}{{(1 + x^{4})}^{2}} d x$
85342	Integrate Using u-Substitution	integral of e^( square root of x) with respect to x	$\int e^{\sqrt{x}} d x$
85343	Integrate Using u-Substitution	integral of x^2e^x with respect to x	$\int x^{2} e^{x} d x$
85344	Integrate Using u-Substitution	integral of (6x)/((5+3x^2)^4) with respect to x	$\int \frac{6 x}{{(5 + 3 x^{2})}^{4}} d x$
85345	Integrate Using u-Substitution	integral of x/((1-x^2)^3) with respect to x	$\int \frac{x}{{(1 - x^{2})}^{3}} d x$
85346	Integrate Using u-Substitution	integral of sin(x)^4 with respect to x	$\int \sin^{4} (x) d x$
85347	Integrate Using u-Substitution	integral from 0 to 1 of (5x+4)/(2x+1) with respect to x	$\int_{0}^{1} \frac{5 x + 4}{2 x + 1} d x$
85348	Integrate Using u-Substitution	integral from 1 to 3 of x/(x^2+1) with respect to x	$\int_{1}^{3} \frac{x}{x^{2} + 1} d x$
85349	Integrate Using u-Substitution	integral of square root of 1-x^2 with respect to x	$\int \sqrt{1 - x^{2}} d x$
85350	Integrate Using u-Substitution	integral of (x^3+2x)^5(6x^2+4) with respect to x	$\int {(x^{3} + 2 x)}^{5} (6 x^{2} + 4) d x$
85351	Integrate Using u-Substitution	integral of x/( square root of 2x-1) with respect to x	$\int \frac{x}{\sqrt{2 x - 1}} d x$
85352	Integrate Using u-Substitution	integral of (e^x)/(e^x+1) with respect to x	$\int \frac{e^{x}}{e^{x} + 1} d x$
85353	Integrate Using u-Substitution	integral of square root of 2x+3 with respect to x	$\int \sqrt{2 x + 3} d x$
85354	Integrate Using u-Substitution	integral of x^2 square root of 1+x with respect to x	$\int x^{2} \sqrt{1 + x} d x$
85355	Integrate Using u-Substitution	integral of cos(3x) with respect to x	$\int \cos (3 x) d x$
85356	Integrate Using u-Substitution	integral of x/((x^2+1)^2) with respect to x	$\int \frac{x}{{(x^{2} + 1)}^{2}} d x$
85357	Integrate Using u-Substitution	integral of cos(x/2) with respect to x	$\int \cos (\frac{x}{2}) d x$
85358	Integrate Using u-Substitution	integral of cos(x)^5 with respect to x	$\int \cos^{5} (x) d x$
85359	Integrate Using u-Substitution	integral from 0 to 1 of (x^3+x)(x^4+2x^2+9)^(1/2) with respect to x	$\int_{0}^{1} (x^{3} + x) {(x^{4} + 2 x^{2} + 9)}^{\frac{1}{2}} d x$
85360	Integrate Using u-Substitution	integral of x^(1/3)(x^(4/3)+9)^8 with respect to x	$\int x^{\frac{1}{3}} {(x^{\frac{4}{3}} + 9)}^{8} d x$
85361	Integrate Using u-Substitution	integral of square root of 2x-1 with respect to x	$\int \sqrt{2 x - 1} d x$
85362	Integrate Using u-Substitution	integral of 1/(1+x^2) with respect to x	$\int \frac{1}{1 + x^{2}} d x$
85363	Integrate Using u-Substitution	integral of (sin(x))/(cos(x)) with respect to x	$\int \frac{\sin (x)}{\cos (x)} d x$
85364	Integrate Using u-Substitution	integral of xcos(x^2) with respect to x	$\int x \cos (x^{2}) d x$
85365	Integrate Using u-Substitution	integral from 1 to 2 of x square root of x-1 with respect to x	$\int_{1}^{2} x \sqrt{x - 1} d x$
85366	Integrate Using u-Substitution	integral of 1/(x^2+1) with respect to x	$\int \frac{1}{x^{2} + 1} d x$
85367	Integrate Using u-Substitution	integral of x(4x+7)^8 with respect to x	$\int x {(4 x + 7)}^{8} d x$
85368	Integrate Using u-Substitution	integral of (1+1/t)^3(1/(t^2)) with respect to t	$\int {(1 + \frac{1}{t})}^{3} (\frac{1}{t^{2}}) d t$
85369	Integrate Using u-Substitution	integral of (2x)/(x^2+1) with respect to x	$\int \frac{2 x}{x^{2} + 1} d x$
85370	Integrate Using u-Substitution	integral of (x^2-1)/( square root of 2x-1) with respect to x	$\int \frac{x^{2} - 1}{\sqrt{2 x - 1}} d x$
85371	Integrate Using u-Substitution	integral of (e^u)/((1-e^u)^2) with respect to u	$\int \frac{e^{u}}{{(1 - e^{u})}^{2}} d u$
85372	Integrate Using u-Substitution	integral of x square root of 5+2x^2 with respect to x	$\int x \sqrt{5 + 2 x^{2}} d x$
85373	Integrate Using u-Substitution	integral of x square root of x^2+4 with respect to x	$\int x \sqrt{x^{2} + 4} d x$
85374	Integrate Using u-Substitution	integral of (sin(x))/(cos(x)^3) with respect to x	$\int \frac{\sin (x)}{\cos^{3} (x)} d x$
85375	Integrate Using u-Substitution	integral of sin(x)cos(x)^2 with respect to x	$\int \sin (x) \cos^{2} (x) d x$
85376	Integrate Using u-Substitution	integral of 1/(x^2+4) with respect to x	$\int \frac{1}{x^{2} + 4} d x$
85377	Integrate Using u-Substitution	integral of 1/( square root of 9-x^2) with respect to x	$\int \frac{1}{\sqrt{9 - x^{2}}} d x$
85378	Integrate Using u-Substitution	integral from 1 to 4 of (e^( square root of x))/( square root of x) with respect to x	$\int_{1}^{4} \frac{e^{\sqrt{x}}}{\sqrt{x}} d x$
85379	Integrate Using u-Substitution	integral of tan(x)^2 with respect to x	$\int \tan^{2} (x) d x$
85380	Integrate Using u-Substitution	integral of (x^2)/(x^3+4) with respect to x	$\int \frac{x^{2}}{x^{3} + 4} d x$
85381	Integrate Using u-Substitution	integral of 1/( square root of 1-x^2) with respect to x	$\int \frac{1}{\sqrt{1 - x^{2}}} d x$
85382	Integrate Using u-Substitution	integral of xe^(-x^2) with respect to x , u=-x^2	$\int x e^{- x^{2}} d x$ , $u = - x^{2}$
85383	Integrate Using u-Substitution	integral of (x^3)/( square root of 1-x^2) with respect to x	$\int \frac{x^{3}}{\sqrt{1 - x^{2}}} d x$
85384	Integrate Using u-Substitution	integral of (e^x+e^(-x))/(e^x-e^(-x)) with respect to x	$\int \frac{e^{x} + e^{- x}}{e^{x} - e^{- x}} d x$
85385	Integrate Using u-Substitution	integral of (1-2x)^9 with respect to x	$\int {(1 - 2 x)}^{9} d x$
85386	Integrate Using u-Substitution	integral of x square root of 1-x with respect to x	$\int x \sqrt{1 - x} d x$
85387	Integrate Using u-Substitution	integral of x^2 natural log of x with respect to x	$\int x^{2} \ln (x) d x$
85388	Integrate Using u-Substitution	integral of 1/(5-3x) with respect to x	$\int \frac{1}{5 - 3 x} d x$
85389	Integrate Using u-Substitution	integral of 2x square root of x^2+1 with respect to x	$\int 2 x \sqrt{x^{2} + 1} d x$
85390	Integrate Using u-Substitution	integral of 1/(x^2+1) with respect to x	$\int \frac{1}{x^{2} + 1} d x$
85391	Integrate Using u-Substitution	integral of x/(1+x^2) with respect to x	$\int \frac{x}{1 + x^{2}} d x$
85392	Integrate Using u-Substitution	integral of (5x^2-3)(2x) with respect to x	$\int (5 x^{2} - 3) (2 x) d x$
85393	Integrate Using u-Substitution	integral of (4sin(x))/(3+cos(x)) with respect to x	$\int \frac{4 \sin (x)}{3 + \cos (x)} d x$
85394	Integrate Using u-Substitution	integral from -1/3 to 1/3 of 1/(1+9x^2) with respect to x	$\int_{- \frac{1}{3}}^{\frac{1}{3}} \frac{1}{1 + 9 x^{2}} d x$
85395	Integrate Using u-Substitution	integral of sec(2x)tan(2x) with respect to x	$\int \sec (2 x) \tan (2 x) d x$
85396	Integrate Using u-Substitution	integral of (2x-5)^10 with respect to x	$\int {(2 x - 5)}^{10} d x$
85397	Integrate Using u-Substitution	integral of (1+x)/(1+x^2) with respect to x	$\int \frac{1 + x}{1 + x^{2}} d x$
85398	Integrate Using u-Substitution	integral of xcos(x) with respect to x	$\int x \cos (x) d x$
85399	Integrate Using u-Substitution	integral from 0 to 2 of x/( square root of 1+2x^2) with respect to x	$\int_{0}^{2} \frac{x}{\sqrt{1 + 2 x^{2}}} d x$
85400	Integrate Using u-Substitution	integral from 0 to 2 of x^2 square root of 1+x^3 with respect to x	$\int_{0}^{2} x^{2} \sqrt{1 + x^{3}} d x$