To determine To find: The functional value of the integral ∫ x 2 e 2 x d x through the integration by parts. Explanation Formula used: “If u and v are differentiable functions, then ∫ u d v = u v − ∫ v d u .” Calculation: The given integral is, ∫ x 2 e 2 x d x . Solve the above integral by the method of integration by parts. Let u = x 2 and d v = e 2 x d x . Then, d u d x = d ( x 2 ) d x d u d x = 2 x d u = 2 x d x ∫ d v = ∫ e 2 x d x v = e 2 x 2 Substitute the corresponding values in the formula ∫ u d v = u v − ∫ v d u and simplify further

Calculus with Applications Books a la Carte Edition

11th Edition

ISBN: 9780133864564

Author: Margaret L. Lial; Nathan P. Ritchey; Raymond N. Greenwell

Publisher: Pearson Education

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Chapter 8.1, Problem 13E

To determine

To find: The functional value of the integral ∫x2e2xdx through the integration by parts.

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Chapter 8.1, Problem 12E

Chapter 8.1, Problem 14E

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Chapter 8 Solutions

Calculus with Applications Books a la Carte Edition

Ch. 8.1 - YOUR TURN 1 Find Ch. 8.1 - YOUR TURN 2 Find Ch. 8.1 - YOUR TURN 3 Find Ch. 8.1 - YOUR TURN 4 Find . Ch. 8.1 - YOUR TURN 5 Find Ch. 8.1 - Prob. 1WE Ch. 8.1 - Find the following. W2. Ch. 8.1 - Find the following. W3. Ch. 8.1 - Find the following. W4. Ch. 8.1 - Use integration by parts to find the integrals in...

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