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Using u = x² + 1, the integral of x(x² + 1)³ between x = 0 and x = 2 evaluates to
A624
B78
C39
D156
Answer & Solution
Correct answer: B. 78
With u = x² + 1 the integral is (1/2) times the integral of u³ from 1 to 5, which is (625 − 1)/8 = 78.
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