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✔ BOTTOM LINE QUESTION Find the antiderivative tan* tdt.

✔ BOTTOM LINE QUESTION Find the antiderivative tan* tdt.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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### Bottom Line Question Find the antiderivative: \[ \int \tan^4 t \, dt \] This problem requires finding the integral of the tangent function raised to the fourth power with respect to \( t \). Techniques such as trigonometric identities or substitution might be useful to simplify the integrand for easier computation.
Transcribed Image Text:### Bottom Line Question Find the antiderivative: \[ \int \tan^4 t \, dt \] This problem requires finding the integral of the tangent function raised to the fourth power with respect to \( t \). Techniques such as trigonometric identities or substitution might be useful to simplify the integrand for easier computation.
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\int \:\tan ^4\left(t\right)dt

use the integration rule \int \tan ^n\left(x\right)dx=\frac{\tan ^{n-1}\left(x\right)}{n-1}-\int \tan ^{n-2}\left(x\right)dx

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