Use the Table of Integrals to find x25 − 4x2 dx.

The integral 2𝜋 4xe−x2 dx can be done with the substitution u = x2 and du =

Evaluate the definite integral. Use a graphing utility to verify your result.54x3x − 4 dx

Find the indefinite integral and check the result by differentiation. (Remember the constant of integration.)33 − 4x2 (−8x) dx

Use the table of integration formulas to identify and use an appropriate formula to find the following definite integral:

SOLUTION If we look at the section of table titled Forms involving a2 − u2, we see that the closest entry is number 34.u2a2 − u2 du = − u2a2 − u2 + a22 sin−1ua + CThis is not exactly what we have, but we will be able to use it if we first make the substitution u = 2x.x25 − 4x2 dx