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

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

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integral from 0 to 2x of sin(x)

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

2 sin^{2} (x)

Solution steps

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

Use the common integral:

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

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

Compute the boundaries:

2 sin^{2} (x)

= 2 sin^{2} (x)

\int_{0}^{π} (2 x - 1) cos (3 x) d x

\int_{- π}^{π} 2 sin (x) d x

\int_{0}^{8} x^{3} d x

\int_{0}^{y} e^{t^{4}} d t

\int_{0}^{\frac{π}{4}} 5 sec (x) tan (x) d x

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