12. Techniques of Integration
Integration by Parts
12. Techniques of Integration
Integration by Parts
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- Multiple Choice
Find the integral.
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Find the integral.
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Find the integral.
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Find the indefinite integral.
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92–98. Evaluate the following integrals.
92. ∫[1 to √2] y⁸ e^(y²) dy
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7–40. Table look-up integrals Use a table of integrals to evaluate the following indefinite integrals. Some of the integrals require preliminary work, such as completing the square or changing variables, before they can be found in a table.
28. ∫ ln² x dx
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71-74. Deriving formulas Evaluate the following integrals. Assume a and b are real numbers and n is a positive integer.
74. ∫xⁿ arcsin(x) dx (Hint: integration by parts.)
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7–84. Evaluate the following integrals.
38. ∫ from π/6 to π/2 [cos x · ln(sin x)] dx
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