Respuesta :

Given the following integral:

[tex]\int(2x^5-7x^3+6)dx[/tex]

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

The solution will be as follows:

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

So, the answer will be:

[tex]\frac{1}{3}x^6-\frac{7}{4}x^4+6x+C[/tex]