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Solve each of the integrals in Exercises 39–74. Some integrals require trigonometric substitution, and some do not. Write your answers as algebraic functions whenever possible.

x2+9x32dx

Short Answer

Expert verified

The solution of the integral is23x32-18x+C.

Step by step solution

01

Step 1. Given Information.

The given integral isx2+9x32dx.

02

Step 2. Solve. 

Let's solve the integral,

x2+9x32dx=x+9x32dx=xdx+9x32dx=23x32+9-21x+C=23x32-18x+C

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