Thursday

September 18, 2014

September 18, 2014

Posted by **Laplace transform** on Monday, May 31, 2010 at 6:59am.

- Math, not "college" -
**Writeacher**, Monday, May 31, 2010 at 7:30amPlease type your

__subject__in the**School Subject**box. Any other words, including obscure abbreviations, are likely to delay responses from a teacher who knows that subject well.

- Integral calculus -
**MathMate**, Monday, May 31, 2010 at 10:18amWhen the sin/cos are in odd powers, use the substitution

cosθdθ=d(sinθ), or

sinθdθ=-d(cosθ)

∫sin³θcos³θd&theta (from 0 to π/2)

=∫sin³θ(1-sin²θ) (cosθdθ)

=∫(sin³θ-sin^{5}θ)(d(sinθ)) (from 0 to sin(π/2))

=[sin^{4}θ/4-sin^{6}θ/6](from 0 to 1)

=1/12

**Answer this Question**

**Related Questions**

Math - Calculus - The identity below is significant because it relates 3 ...

Calculus AP - hi again im really need help TextBook: James Stewart:Essential ...

trig - cosθ =5/13 with -π/2 < θ <0 find each of the ...

trigonometry - if cosθ=2/3 and tanθ<0 find the exact value sin(&#...

math - if cosθ=2/3 and tanθ<0 find the exact value sin(θ-5&#...

mathematics - given sinθ=-5/13 and π<θ<3π/2 find sin2...

math - given sinθ=-5/13 and π<θ<3π/2 find sin2θ ...

trigonometry - given tanθ= -2√10/3 and π/2<θ< π ...

calculus - Find the trigonometric integral (a) ∫▒tan〖...

Trigonometry - Which of the following is equivalent to 1 − cos 2 θ/...