Answered: fin(x² + 1)dx (Ans: xln(x² +1)−2x + 2…

Math

Calculus

fin(x² + 1)dx (Ans: xln(x² +1)−2x + 2 tan¯¹ x + C)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section: Chapter Questions

Problem 43RE

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Question

Evaluate the following indefinite integral using integration by trigonometric substitution. DO NOT use inverse trigonometric identities such as arcsin while integrating. DO NOT use standard integrals. Prove that the answer is correct. Please take note of the answer already provided in the image. Thank you.

fin(x² + 1)dx
-1
(Ans: xln(x² +1)-2x+2tan ¹x + C)

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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