Question

Evaluate the integral: (x^3+2-(5/x^2)) dx

I need to see the steps to complete this problem, because I could not figure it out...

Answer 1

\[\int\limits \left(x^3-\frac{5}{x^2}+2\right) \, dx\]

Answer 2

Is that the integral?

Answer 3

yes

Answer 4

You can break this integral into
\[\int\limits x^3 \, dx-\int\limits \frac{5}{x^2} \, dx+\int\limits 2 \, dx\]

Answer 5

ok

Answer 6

Thank you, I understand now

Answer 7

Use this formula
\[\int\limits x^N \, dx=\frac{1}{N+1}x^{N+1}+C\]

Answer 8

(x^4/4)+(5/x)+(2x)+C

Answer 9

Thank you!