Question

Evaluate the integral

Answer 1

\[\int\limits_{-6}^{9}abs(x^3)*dx\]

Answer 2

Split it into two integrals:
\[\int\limits_{-6}^{9}abs(x^3)*dx=
\int\limits_{-6}^{0}abs(x^3)*dx+\int\limits_{0}^{9}abs(x^3)*dx\]
Get it?

Answer 3

In the first integral, x is always negative or zero; in the second integral, x is always positive or zero. What can you do with the absolute value function using this fact?

Answer 4

So evaluate \[\int\limits_{-6}^{0}-x^3*dx\] and \[\int\limits_{0}^{9}x^3*dx\]

Answer 5

Exactly.

Answer 6

So I got 7857/4. WebWork says its the right answer. But, how come when I evaluate it with the calculator, it returns the answer 7857/2. Oh never mind. kept reading the calculator wrong