# Math Help - [SOLVED] Evaluating the indefinite integral..need help

1. ## [SOLVED] Evaluating the indefinite integral..need help

Evaluate the indefinite integral

Is this solution is correct, if not then suggests some hints.

2. Thats one hell of an integral, but according to wolfram, that solution is correct.

http://integrals.wolfram.com/index.jsp?expr=%289%2Btan%28x%29%29^7*sec%28x%29^2 &random=false

3. Will the answer change if I replace x with Θ

4. No. It whatever your limit's of integration are that define the end resulting value of the function

5. Originally Posted by racewithferrari
Evaluate the indefinite integral

Is this solution is correct, if not then suggests some hints.

$u = 9 + \tan{x}$

$du = \sec^2{x} \, dx$

$\int u^7 \, du$

$\frac{u^8}{8} + C$

$\frac{(9 + \tan{x})^8}{8} + C
$