Integration by Trigonometric Substitution

Integration by Trigonometric Substitution

Assessment

Flashcard

Mathematics

University

Practice Problem

Hard

Created by

Faradillah Haryani

Used 1+ times

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12 questions

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1.

FLASHCARD QUESTION

Front

Identify the appropriate trigonometric substitution for the integral: ∫(x^2)√(4-x^2) dx

Back

x = 2sin(t)

2.

FLASHCARD QUESTION

Front

Recognize when to use trigonometric substitution for the integral: ∫(x^3)√(1-x^2) dx

Back

Trigonometric substitution should be used for the integral ∫(x^3)√(1-x^2) dx.

3.

FLASHCARD QUESTION

Front

Apply trigonometric substitution to simplify the integral: ∫(x^2) / √(4+x^2) dx

Back

2 * (θ + tan(θ) * sec(θ)) + C

4.

FLASHCARD QUESTION

Front

Trigonometric substitution for ∫(x^3) / (1+x^2) dx

Back

x = tan(theta)

5.

FLASHCARD QUESTION

Front

Recognize the correct trigonometric substitution for the integral: ∫(x^2) / (1+x^2) dx

Back

x = tan(theta)

6.

FLASHCARD QUESTION

Front

Apply trigonometric substitution to simplify the integral: ∫(x^3) / √(9-x^2) dx

Back

-6√(9-x^2) + C

7.

FLASHCARD QUESTION

Front

Identify the appropriate trigonometric substitution for the integral: ∫(x^2) / (1-x^2) dx

Back

x = sin(theta)

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