   Chapter 4.3, Problem 35E

Chapter
Section
Textbook Problem

# Evaluate the integral. ∫ 1 2 v 5 + 3 v 6 v 4 d v

To determine

To evaluate:

12v5+3v6v4 dv

Explanation

1) Concept:

i) The Fundamental Theorem of Calculus (part 2): Suppose  f is continuous on [a, b], then

abfxdx=Fb-F(a), where F is antiderivative of  f, that is F'=f.

ii) Separate out the integration and then use antiderivative of each term

2) Calculation:

12v5+3v6v4 dv

After separating the denominator, the above integration becomes

12( v5v4+ 3v6v4 ) dv

By separating the integration

12v dv+123v</

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