Chapter 5: Q. 3 (page 477)
The Fundamental Theorem of Calculus: Solve each of the following definite integrals.
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- .
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Short Answer
The solution for the given integrals are,
Part : role="math" localid="1649140409260" .
Part : .
Part : .
Part:.
Chapter 5: Q. 3 (page 477)
The Fundamental Theorem of Calculus: Solve each of the following definite integrals.
The solution for the given integrals are,
Part : role="math" localid="1649140409260" .
Part : .
Part : .
Part:.
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Get started for freeSolve each of the integrals in Exercises 39–74. Some integrals require trigonometric substitution, and some do not. Write your answers as algebraic functions whenever possible.
Find three integrals in Exercises 27–70 for which either algebra or u-substitution is a better strategy than integration by parts.
Solvethe following two ways:
(a) with the substitution
(b) with the trigonometric substitution x = 2 tan u.
Explain why it makes sense to try the trigonometric substitution if an integrand involves the expression
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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