`int_0^1(1 + (1/2)u^4 - (2/5)u^9)du` Evaluate the integral.

Textbook Question

Chapter 5, 5.3 - Problem 22 - Calculus: Early Transcendentals (7th Edition, James Stewart).
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gsarora17 | (Level 2) Associate Educator

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`int_0^1(1+(1/2)u^4+(2/5)u^9)du`

`=[u+(1/2)(u^(4+1)/(4+1))+(2/5)(u^(9+1)/(9+1))]_0^1`

`=[u+u^5/10-u^10/25]_0^1 = [1+1^5/10-1^10/25]-[0+0^5/10-0^10/25]`

`=(1+1/10-1/25)`

`=(50+5-2)/50`

=53/50

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