Help! Evaluating the Indefinite Integral

[Stratus121]

Hi Everyone!

I recieved this homework problem in my high-school calculus class this week and I'm having a hard time figuring it out.

Evaluate the indefinite integral:

t (t+2)^-6 dt

Any help you could provide would be so awesome!

Thanks so much!

 

[srmichael]

Hi Everyone!

I recieved this homework problem in my high-school calculus class this week and I'm having a hard time figuring it out.

Evaluate the indefinite integral:

t (t+2)^-6 dt

Any help you could provide would be so awesome!

Thanks so much!

Have you, by chance, learned integration by parts, yet?

 

[pka]

Evaluate the indefinite integral:

t (t+2)^-6 dt

Let \(\displaystyle t=u-2\) so we get \(\displaystyle \int {\left( {{u^{ - 5}} - 2{u^{ - 6}}} \right)du}\)