Chapter 5: Q 41. (page 429)
Solve the integral:
Short Answer
The required answer is.
Chapter 5: Q 41. (page 429)
Solve the integral:
The required answer is.
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Get started for freeFor each integral in Exercises 5–8, write down three integrals that will have that form after a substitution of variables.
Solve given definite integral.
Examples: Construct examples of the thing(s) described in the following. Try to find examples that are different than any in the reading.
(a) An integral with which we could reasonably apply trigonometric substitution with .
(b) An integral with which we could reasonably apply trigonometric substitution with .
(c) An integral with which we could reasonably apply trigonometric substitution with .
Solve the integral:
Solve the integralthree ways:
(a) with the substitution followed by back substitution;
(b) with integration by parts, choosing localid="1648814744993"
(c) with the trigonometric substitution x = sec u.
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