integration of 2x 3 e x 2 Solution Verified by Toppr 2x3ex2dx 2x x2ex2 Let x2 t 2xdx dt 2x3ex2dx t etdt t etdt dt dt etdt dt t et et C x2ex2 ex2 C Was this answer helpful
The Integral Calculator lets you calculate integrals and antiderivatives of functions online for free Our calculator allows you to check your solutions to calculus exercises It int e x cos x dx int cos 3 x sin x dx int frac 2x 1 x 5 3 int 0 pi sin x dx int a b x 2dx int 0 2 pi cos 2 theta d theta partial fractions int 0 1
integration of 2x 3 e x 2
integration of 2x 3 e x 2
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Integral Calculator Step 1 Enter the function you want to integrate into the editor The Integral Calculator solves an indefinite integral of a function You can also get a better Function to integrate Correct syntax is Incorrect syntax is 2x 1 6 2x 1 6 2x 1 6 frac 10x 1 x 2 4 10x 1 x 2 4 10x 1 x 2 4 left ln x right 2 ln x 2
How to integrate x 3 e x 2 using Integration by Parts Maths Academy 12 1K subscribers Join Subscribed 426 Share 40K views 5 years ago Integration int e x cos x dx int cos 3 x sin x dx int frac 2x 1 x 5 3 int x 2 ln 5x int frac 1 x 2 dx int frac e 2x 1 e 2x partial fractions int 0 1 frac 32 x 2
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Multiply both sides of the equation by dfrac 1 2 so that the integrand in u equals the integrand in x Thus 3x 2e 2x 3 dx frac 1 2 e u du Answer link 1 2e x 2 x 2 1 C throughout remember that d dx e x 2 2x e x 2 So int x 3 e x 2 dx setting it up for IBP int color red x 2 d dx
Perform the substitution u x2 du 2xdx dx 1 2x du So x3ex2 2 dx 1 2 ueu 2du Perform the integration by parts p u p 1 q eu 2 q Integrate e 2x 2 Natural Language Math Input Extended Keyboard Examples Upload Random Compute answers using Wolfram s breakthrough technology
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integration of 2x 3 e x 2 - Function to integrate Correct syntax is Incorrect syntax is 2x 1 6 2x 1 6 2x 1 6 frac 10x 1 x 2 4 10x 1 x 2 4 10x 1 x 2 4 left ln x right 2 ln x 2