Integrate the functions. x sin^-1 x

Name: Problem 7, Chapter 7: NCERT Class 12 Part 2 - Math
Uploaded: 2021-06-17T10:44:27-08:00
Duration: 5 min 21 s
Channel: Suman Saurav Thakur
Description: Integrate the functions. x sin^-1 x

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Key Concepts

Product of Functions Integration

Integrating products of functions commonly arises in calculus and is typically handled by techniques like integration by parts. Recognizing when a function is a product and choosing effective components for differentiation and integration are key steps in solving such integrals.

Integration by Parts

Integration by parts is a fundamental technique in calculus that is used to integrate products of functions. It is based on the product rule for differentiation and transforms a difficult integral into simpler ones by strategically choosing one function to differentiate and another to integrate.

Inverse Trigonometric Functions

Inverse trigonometric functions are the inverses of the standard trigonometric functions and are used to determine angles from given trigonometric ratios. Their derivatives and integrals have characteristic forms that often require specific techniques for proper integration.

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