   Chapter 4.4, Problem 22E

Chapter
Section
Textbook Problem

# Evaluate the integral. ∫ 0 3 ( 1 + 6 w 2 − 10 w 4 ) d w

To determine

To evaluate:

03(1+6w2-10w4)dw

Explanation

1) Concept:

By using the fundamental theorem of calculus and the rules of integration, evaluate the given integral.

The fundamental theorem of calculus:

If f is continuous on [a, b], then abfxdx=Fb-F(a).

2) Formula:

fx+gxdx=fxdx+gxdx

xndx=xn+1n+1+C

kdx=kx+C

3) Given:

03(1+6w2-10w4)dw

4) Calculation:

Consider, 03(1+6w2-10w4)dw,

After separating the integrals,

03(1+6w2-10w4)dw=031dw+03

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