Evaluate the definite integral of the following: a. ∫0π/2 cos(2x/3) dx Read as: The integral of cos(2x/3) dx from 0 to π/2 b. ∫0π/2 esinx cosx dx Read as: The integral of e to the power of sinx and cos x dx from 0 to π/2

Evaluate the definite integral of the following: a. ∫0π/2 cos(2x/3) dx Read as: The integral of cos(2x/3) dx from 0 to π/2 b. ∫0π/2 esinx cosx dx Read as: The integral of e to the power of sinx and cos x dx from 0 to π/2

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.3: Trigonometric Functions Of Real Numbers

Problem 70E

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Question

Evaluate the definite integral of the following:

a. ∫₀^π/2 cos(2x/3) dx

Read as: The integral of cos(2x/3) dx from 0 to π/2

b. ∫₀^π/2 e^sinxcosx dx

Read as: The integral of e to the power of sinx and cos x dx from 0 to π/2

With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.

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