Monday

December 22, 2014

December 22, 2014

Posted by **Anna** on Thursday, June 28, 2012 at 2:07pm.

I need the answer to this, because I have tried so many times and cannot figure it out.

- calculus -
**Steve**, Thursday, June 28, 2012 at 4:02pmI infer from the presence of DX that you want

∫(sin^8(x) - 5sin^5(x) + sin(x)) cos(x) dx

if you let u = sin(x), then du = cos(x) dx you have

∫(u^8 - 5u^5 + u) du

that's dead easy, using thge power rule:

1/9 u^9 - 1/6 u^6 + 1/2 u^2 + C

now change all the u's back to sin(x) and you're done

**Answer this Question**

**Related Questions**

Precalculus/Trig - I can't seem to prove these trig identities and would really ...

Calculus - Can someone help me find the derivatives of these questions? For ...

Trigonometry. - ( tanx/1-cotx )+ (cotx/1-tanx)= (1+secxcscx) Good one! ...

Trig....... - I need to prove that the following is true. Thanks (2tanx /1-tan^x...

Trigonometry - Prove the following trigonometric identities. please give a ...

Math (trigonometric identities) - I was given 21 questions for homework and I ...

calculus - Could someone check my reasoning? thanx Find the derivative of the ...

Trig........ - I need to prove that the following is true. Thanks (cosx / 1-sinx...

Pre-Calculus - How do you verify: 1.) sinxcosx+sinx^3secx=tanx 2.) (secx+tanx)/(...

Calculus - Find the dervatives: 1. f(x)=(3x+1)e^x^2 2. y = e^(sin x) ln(x) 3. f(...