Fundamental Theorem PArt 1(?) Calc

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dks2114 Posts: 32, Reputation: 2

Junior Member

#1

Aug 14, 2007, 07:44 PM

Fundamental Theorem PArt 1(?) Calc

Can anyone help me solve this?

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galactus Posts: 2,271, Reputation: 282

Ultra Member

#2

Aug 14, 2007, 09:29 PM

$\int_{0}^{e^{x}}sin^{3}(t)dt$

Rewrite as:

$\int_{0}^{e^{x}}sin(t)(sin^{2}(t))dt$

$\int_{0}^{e^{x}}sin(t)(1-cos^{2}(t))dt$

Now, let $u=cos(t), \;\ du = -sin(t)dt$

Can you finish?

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