Question

Evaluatef(2x^5 - 7x^3 + 6)dx

Answer 1

Given the following integral:

$\int(2x^5-7x^3+6)dx$

To integrate the polynomial, the exponent will be increased by 1 then we divide by the new exponent.

The solution will be as follows:

$\begin{gathered} \int(2x^5-7x^3+6)dx=\frac{2}{6}x^6-\frac{7}{4}x^4+6x+C \\ \end{gathered}$

So, the answer will be:

$\frac{1}{3}x^6-\frac{7}{4}x^4+6x+C$