Ask Me Help Desk - Fundamental Theorem PArt 1(?) Calc

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Fundamental Theorem PArt 1(?) Calc

Can anyone help me solve this?

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

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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