10th Edition

Ron Larson + 1 other

ISBN: 9781285057095

Textbook Problem

Finding an Indefinite Integral In Exercises 49-58, find the indefinite integral. Use a computer algebra system to confirm your result.

∫ tan 5 x 4 sec 4 x 4 d x

To determine

To calculate: The indefinite integral and verify the result using computer algebra system.

Given: ∫tan5x4sec4x4dx

Calculation:

Consider the integral,

∫tan5x4sec4x4dx

Rewrite as an integral,

∫tan5x4sec4x4dx=∫tan5x4(1+tan2x4)sec2x4dx

u=tanx4du=14sec2x4dx4du=sec2x4dx

∫tan5x4sec4x4dx=∫4u5(1+u2)du=4∫u5(1+u2)du=4∫(u5+u7)du

Apply the integral formula,

Check out a sample textbook solution.

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Calculus

Finding an Indefinite Integral In Exercises 49-58, find the indefinite integral. Use a computer algebra system to confirm your result. ∫ tan 5 x 4 sec 4 x 4 d x

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Calculus Calculus 10th Edition

Finding an Indefinite Integral In Exercises 49-58, find the indefinite integral. Use a computer algebra system to confirm your result.

∫ tan 5 x 4 sec 4 x 4 d x