What is the integral from 0 to x^2 of cos(x) ?

The integral from 0 to x^2 of cos(x) is sin(x^2)

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integral from 0 to x^2 of cos(x)

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

sin (x^{2})

Solution steps

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

Use the common integral:

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

= [sin (x)]_{0}^{x^{2}}

Compute the boundaries:

sin (x^{2})

= sin (x^{2})

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\int_{0}^{1} 1 - x^{3} d x

\int_{x}^{π} \frac{sin ( y )}{y} d y

\int_{- π}^{π} x^{4} d x

What is the integral from 0 to x^2 of cos(x) ?
The integral from 0 to x^2 of cos(x) is sin(x^2)