Integral Math Example 3

Follow the full solution, then compare it with the other examples linked below.

easy

Find

\int (5x^2 - 3x + 7) \, dx

1
Apply the power rule term by term.
2
For $5x^2$ : $\frac{5x^3}{3}$ . For $-3x$ : $-\frac{3x^2}{2}$ . For $7$ : $7x$ .
3
Result: $\frac{5x^3}{3} - \frac{3x^2}{2} + 7x + C$ .

Answer

\frac{5x^3}{3} - \frac{3x^2}{2} + 7x + C

Apply the power rule for integration to each term and add the constant of integration.

About Integral

The reverse operation of differentiation; it also computes the exact area under a curve between two points.

Find [formula]

Evaluate [formula]

Find [formula] and explain why the standard power rule does not apply.