   Chapter 7.4, Problem 23E

Chapter
Section
Textbook Problem

# Evaluate the integral. ∫ 10 ( x − 1 ) ( x 2 + 9 ) d x

To determine

To evaluate the integral 10(x1)(x2+9)dx

Explanation

Calculation:

Resolve into partial fractions

10(x1)(x2+9)=Ax1+Bx+Cx2+910=A(x2+9)+(Bx+C)(x1)10=(A+B)x2+(B+C)x+(9AC)on solving , we getA+B=0,B+C=0,9AC=10A=1,B=1,C=110(x1)(x2+9)=1x1+x1x2+9=1x1xx2+91x2+9

10(x1)(x2+9)</

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