What is the integral from 0.2 to 0.8 of sin(x) ?

The integral from 0.2 to 0.8 of sin(x) is 0.28335…

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integral from 0.2 to 0.8 of sin(x)

\int_{0.2}^{0.8} sin (x) d x

0.28335 \dots

Solution steps

\int_{0.2}^{0.8} sin (x) d x

Use the common integral:

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

= [- cos (x)]_{0.2}^{0.8}

Compute the boundaries:

0.28335 \dots

= 0.28335 \dots

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\int_{\frac{π}{6}}^{\frac{π}{3}} 4 cos (x) d x

\int_{1}^{2} sec^{3} (2 x) d x

\int_{0}^{π} 5 d x

\int_{\frac{x}{2}}^{\frac{1}{2}} e^{- y^{2}} d y

What is the integral from 0.2 to 0.8 of sin(x) ?
The integral from 0.2 to 0.8 of sin(x) is 0.28335…