Practice Final 1 Part 2

# Practice Final 1 Part 2 - PRACTICEFINAL#1...

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PRACTICE FINAL #1 Math 185, Chapters 7 - 9 Evaluate the integral. 1) x csc 2 3x dx 1) 2) y 2 sin 4y dy 2) 3) e 2x x 2 dx 3)

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4) 4 2 7x ln x dx 4) Evaluate the integral by using a substitution prior to integration by parts. 5) 1 2 e 7x + 9 dx 5) 6) cos (ln x) dx 6)
Evaluate the integral. 7) π /2 0 cos 2 3x sin 3 3x dx 7) 8) π 0 1 - cos 2x dx 8) 9) 9 sec 4 x dx 9)

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10) tan 5 3x dx 10) Use various trigonometric identities to simplify the expression then integrate. 11) cos 6 θ sin 2 θ d θ 11) Integrate the function. 12) 9 dx 3 + x 2 12)
13) 1 - 1 6 1 + 36t 2 dt 13) 14) x 2 - 16 x dx 14) 15) 2 0 81 dx (81 - x 2 ) 3/2 15)

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Use a trigonometric substitution to evaluate the integral. 16) ln 3 0 e t dt 16 + e 2t 16) 17) dx x (1 + 4 ln 2 x) 17) Express the integrand as a sum of partial fractions and evaluate the integral. 18) 9 8 12 x 2 - 36 dx 18)
19) 8x - 16 x 2 - 4x - 5 dx 19) Use the Trapezoidal Rule with n = 4 steps to estimate the integral.

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Practice Final 1 Part 2 - PRACTICEFINAL#1...

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