evaluate integral e x 1 x cos 2 xe x dx

evaluate integral e x 1 x cos 2 xe x dx Evaluate e x 1 x cos 2 x e x d x Sum Solution Let I e x 1 x cos 2 x e x d x Put x e x t Diff w r t x x e x e x 1 d t d x e x 1 x d x d t I d t cos 2 t sec 2

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 helps you practice by showing you the full working step Ex 7 3 24 MCQ Integration ex 1 x cos2 ex x dx equals Chapter 7 Class 12 Integrals Serial order wise

evaluate integral e x 1 x cos 2 xe x dx

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evaluate integral e x 1 x cos 2 xe x dx
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Evaluate e x 1 x cos 2 xe x dx Integral of ex 1 x cos square x ex Class 12 int e x 1 x cos 2 xe x dx integrate Free indefinite integral calculator solve indefinite integrals with all the steps Type in any integral to get the solution steps and graph

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Solution steps cos2 xex ex 1 x dx Apply u substitution sec2 u du sec2 u du Use the common integral sec2 u du tan u tan u Substitute back u xex tan xex Add a We can do a quite simple u substitution to evaluate the integral Re e i 1 x i 1 C Re exeix i 1 C ex Re eix i 1 C We can now use Euler s identity again to expand the top We also multiply by the conjugate

Answer is B tan xe x Put xe x t then xe x e x dx dt Therefore I sec 2 tdt tant c tan xe x c Solution e x 1 x cos 2 e x x d x equals tan xex C Explanation Let e x 1 x cos 2 e x x d x Put xe x t e x 1 e x x d x d t e x 1 x dx dt I d t cos 2 t sec 2 t dt

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evaluate integral e x 1 x cos 2 xe x dx - Evaluate e x 1 x cos 2 xe x dx Integral of ex 1 x cos square x ex Class 12 int e x 1 x cos 2 xe x dx integrate