What is the integral from 0 to x of sqrt(cos(t)) ?

The integral from 0 to x of sqrt(cos(t)) is 2\E(x/2 \vert 2)-2\E(0*2\vert)

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integral from 0 to x of sqrt(cos(t))

\int_{0}^{x} cos (t) d t

2 E (\frac{x}{2} ∣ 2) - 2 E (0 \cdot 2∣)

Solution steps

\int_{0}^{x} 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)]_{0}^{x}

Compute the boundaries:

2 E (\frac{x}{2} ∣ 2) - 2 E (0 \cdot 2∣)

= 2 E (\frac{x}{2} ∣ 2) - 2 E (0 \cdot 2∣)

What is the integral from 0 to x of sqrt(cos(t)) ?
The integral from 0 to x of sqrt(cos(t)) is 2\E(x/2 \vert 2)-2\E(0*2\vert)