What is the integral of sqrt(cos(t)) ?

The integral of sqrt(cos(t)) is 2\E(t/2 \vert 2)+C

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integral of sqrt(cos(t))

\int cos (t) d t

2 E (\frac{t}{2} ∣2) + C

Solution steps

\int cos (t) d t

Use the nonelementary integral:

\int cos (x) d x = 2 E (\frac{x}{2} ∣ 2)

= 2 E (\frac{t}{2} ∣ 2)

Add a constant to the solution

= 2 E (\frac{t}{2} ∣ 2) + C

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What is the integral of sqrt(cos(t)) ?
The integral of sqrt(cos(t)) is 2\E(t/2 \vert 2)+C