What is the integral from 0 to sin(y) of cos(y) ?

The integral from 0 to sin(y) of cos(y) is sin(sin(y))

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integral from 0 to sin(y) of cos(y)

\int_{0}^{s i n (y)} cos (y) d y

sin (sin (y))

Solution steps

\int_{0}^{s i n (y)} cos (y) d y

Use the common integral:

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

= [sin (y)]_{0}^{s i n (y)}

Compute the boundaries:

sin (sin (y))

= sin (sin (y))

\int_{0}^{1} - x^{2} + x d x

\int_{2}^{x} 5 t + 3 d t

\int_{0}^{1} x^{2} 1 + x d x

\int_{- 1}^{0} (4 + 1 - x^{2}) d x

\int_{0}^{4} π (x - 1) d x

What is the integral from 0 to sin(y) of cos(y) ?
The integral from 0 to sin(y) of cos(y) is sin(sin(y))