Question

Integral pls i couldnt​

Answer 1

Simplify the integrand:

`(4x^4 + 3x^2 + 5x)/(x^2) = 4x^2 + 3 + \frac5x`

Now integrate one term at a time.

`\displaystyle \int 4x^2 \, dx = \frac43 x^3 + C`

`\displaystyle \int 3 \, dx = 3x + C`

`\displaystyle \int \frac5x \, dx = 5 \ln|x| + C`

Putting everything together,

`\displaystyle \int (4x^4 + 3x^2 + 5x)/(x^2) \, dx = \int \left(4x^2 + 3 + \frac5x\right) \, dx = \boxed + C`