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sin x dx 1+ cos2 x 31. T/2

sin x dx 1+ cos2 x 31. T/2

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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CalcChat.com for tutorial help and worked-out solutions to o Cln Cln 5 et 30. 29. 1 + e2x In n find u have sin x 32. 31. 1/2 dx 1 + cos? x arcsin x dx 34. 33. V1- x words, Completing the Squa find or evaluate the int e of a square square. dx Exercises 35. 36. x2 - 2x + 2 37. dx
Transcribed Image Text:CalcChat.com for tutorial help and worked-out solutions to o Cln Cln 5 et 30. 29. 1 + e2x In n find u have sin x 32. 31. 1/2 dx 1 + cos? x arcsin x dx 34. 33. V1- x words, Completing the Squa find or evaluate the int e of a square square. dx Exercises 35. 36. x2 - 2x + 2 37. dx
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\int _{\frac{\pi }{2}}^{\pi }\frac{\sin \left(x\right)}{1+\cos ^2\left(x\right)}dx\:................(1)

substitute 

u=\cos \left(x\right)

\:du=-\sin \left(x\right)dx

\:\frac{du}{-\sin \left(x\right)}=dx

dx=\:-\frac{du}{\sin \left(x\right)}................put it back in equation 1

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