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View Full Version : Fundamental Theorem PArt 1(?) Calc


dks2114
Aug 14, 2007, 07:44 PM
Can anyone help me solve this?

galactus
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?