(a) Using a trigonometricsubstitution, compute the integral and show that for a 0 (b) Verify the formula via differentiation dx 1 1 S (8 6) 26 ( x a tan x) C a...

a Let x a tan 0 Then dx a sec 0 de and 1 S S dx x a Since x a tan 8 we construct a right trian ...

(a) Using a trigonometricsubstitution, compute the integral and show that for a > 0 (b) Verify the...

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(a) Using a trigonometricsubstitution, compute the integral and show that for a > 0

dx 1 S (x + 41 = 26 ( x +4 + = tan- x) + C 1 -

(b) Verify the formula via differentiation.

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Dec 01, 2023 08:03 AM

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(a) Using a trigonometricsubstitution, compute the integral and show that for a > 0 (b) Verify the...

Question:

dx 1 1 S (8² + 6²)² = 26² ( x² + a² + tan²-¹ x) + C - a

Step by Step Answer:

a Let x a tan 0 Then dx a sec 0 de and 1 S S dx x a Since x a tan 8 we construct a right trian...View the full answer

Calculus

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