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

The integral from 0 to arcsin(x) of cos(x) is x

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integral from 0 to arcsin(x) of cos(x)

\int_{0}^{a r c s i n (x)} cos (x) d x

x

Solution steps

\int_{0}^{a r c s i n (x)} cos (x) d x

Use the common integral:

\int cos (x) d x = sin (x)

= [sin (x)]_{0}^{a r c s i n (x)}

Compute the boundaries:

x

= x

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\int_{0}^{l n (π)} e^{x} cos (e^{x}) d x

\int_{0}^{x} sin^{2} (x) d x

\int_{2}^{8} ∣ sin (x) ∣ d x

What is the integral from 0 to arcsin(x) of cos(x) ?
The integral from 0 to arcsin(x) of cos(x) is x