   Chapter 4.4, Problem 20E

Chapter
Section
Textbook Problem

# Evaluate the integral. ∫ 1 2 ( 4 x 3 − 3 x 2 + 2 x ) d x

To determine

To evaluate:

12(4x3-3x2+2x)dx

Explanation

1) Concept:

By using the fundamental theorem ofcalculus 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:

12(4x3-3x2+2x)dx

4) Calculation:

Consider, 12(4x3-3x2+2x)dx, After separating the integrals,

12(4x3-3x2+2x)dx=124x3dx-

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