Explanation Given Information: The provided graph of y = x 2 + cos x can be shown as: Formula used: The formula of definite integral of ∫ a b cos u d u . ∫ a b cos u d u = [ sin u ] a b The formula of definite integral of ∫ a b u n d u . ∫ a b u n d u = [ u n + 1 n + 1 ] a b Calculation: From provided diagram, the interval [ a , b ] will be [ 0 , π ] . Therefore, area bounded by graph of y = x 2 + cos x can be calculated as, ∫ 0 π ( x 2 + cos x ) d x = ∫ 0 π x 2 d x + ∫ 0 π cos x d x = 1 2 ∫ 0 π x d x + ∫ 0 π cos x d x Integrate with the help of above integration formulae

Calculus: An Applied Approach (MindTap Course List)

10th Edition

ISBN: 9781305860919

Author: Ron Larson

Publisher: Cengage Learning

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Chapter 8.5, Problem 50E

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To calculate: The area bounded by the graph of y=x2+cosx.

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Chapter 8.5, Problem 49E

Chapter 8.5, Problem 51E

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Calculus: An Applied Approach (MindTap Course List)

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The area bounded by the graph of y = x 2 + cos x .

Solution Summary: The author calculates the area bounded by the graph of y=x2+mathrm

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Chapter 8 Solutions