- #1

songoku

- 2,360

- 342

- Homework Statement
- Using substitution ##x=-u##, solve:

$$\int \frac{6x^2+5}{1+2^x}dx$$

- Relevant Equations
- Integration by substitution

Integration by parts

Integration by partial fraction

Integration by trigonometry substitution

Is it possible to solve this integral? I think the substitution ##x=-u## does not help at all since it only changes variable ##x## to ##u## without changing the integrand much.

Using that substitution:

$$\int \frac{6x^2+5}{1+2^x}dx=-\int \frac{6u^2+5}{1+2^{-u}}du$$

Then how to continue?

Thanks

Using that substitution:

$$\int \frac{6x^2+5}{1+2^x}dx=-\int \frac{6u^2+5}{1+2^{-u}}du$$

Then how to continue?

Thanks