Question
In Exercises 33–38, perform long division on the integrand, write the
proper fraction as a sum of partial fractions, and then evaluate the
integral.
2x³ – 2x² + 1
· dx
- dx
33.
34.
x2
х
16x
4x2
9x3
Зх + 1
35.
36.
dx
4х + 1
x³ - x2
y* + y² – 1
- dy
y3 + y
2y4
y – y? + y – 1
- dy
37.
38.
Evaluating Int grals
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Transcribed Image Text

In Exercises 33–38, perform long division on the integrand, write the proper fraction as a sum of partial fractions, and then evaluate the integral. 2x³ – 2x² + 1 · dx - dx 33. 34. x2 х 16x 4x2 9x3 Зх + 1 35. 36. dx 4х + 1 x³ - x2 y* + y² – 1 - dy y3 + y 2y4 y – y? + y – 1 - dy 37. 38. Evaluating Int grals