(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.
(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.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Transcribed Image Text:(c) (i) Use the substitution x = tan² to show that
(ii) Hence find in simplest exact form the value of
√x
(1+x²)²
dx =
√√x
。 (1 + x² ) ²
S²2si
dx.
2sin Ꮎ dᎾ .
Expert Solution
Step 1
We have to show
by substituting
and evaluate its integral.
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