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

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

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integral of sqrt(cos(x))

\int cos (x) d x

2 E (\frac{x}{2} ∣2) + C

Solution steps

\int cos (x) d x

Use the nonelementary integral:

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

= 2 E (\frac{x}{2} ∣ 2)

Add a constant to the solution

= 2 E (\frac{x}{2} ∣ 2) + C

tan (2) x^{2}

\frac{d}{d x} (5 - x^{\frac{2}{3}})

\int y^{2} + y sin (x)

\int \frac{1 - e ^{x}}{1 + e ^{x}} d x

f (x) = x sin (x)

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