(c) (i) Use the substitution x = tan² to show that(ii) Hence find in simplest exact form the value of√x(1+x²)²dx =√√x。 (1 + x² ) ²S²2sidx.2sin Ꮎ dᎾ .

We have to show ∫01x1+x22dx=∫0π42sin2θdθ by substituting x=tan2θ and…

Answered: (c)(i) Use the substitution x = tan²0…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter1: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 35RE

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(c)(i) Use the substitution x = tan²0 to show that √x 。 (1 + x² ) ² (ii) Hence find in simplest exact form the value of dx = √x 。 (1+x²)² (4 **2 sin²0 de. dx.