Find the integral: (cos(t))5 dt sin(t) + C
Added by Jonathan M.
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Step 1
First, we can use the power reduction formula to simplify the integral: (cos(t))^5 = (cos(t))^4 * cos(t) = (1 - sin^2(t))^2 * cos(t) = (1 - 2sin^2(t) + sin^4(t)) * cos(t) So the integral becomes: ∫ [(1 - 2sin^2(t) + sin^4(t)) * cos(t)] * sin(t) dt + C Expanding Show more…
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