What is the integral from 0.5 to 1 of cos(x) ?

The integral from 0.5 to 1 of cos(x) is 0.36204…

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integral from 0.5 to 1 of cos(x)

\int_{0.5}^{1} cos (x) d x

0.36204 \dots

Solution steps

\int_{0.5}^{1} cos (x) d x

Use the common integral:

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

= [sin (x)]_{0.5}^{1}

Compute the boundaries:

0.36204 \dots

= 0.36204 \dots

\int_{1}^{8} (\frac{x}{8} - \frac{2}{x}) d x

\int_{0}^{1} (7 x^{2} - 4 x + 2) d x

\int_{0}^{1} (1 + 5 x)^{3} d x

\int_{0}^{1} 3 x^{2} \cdot e^{x^{3}} d x

\int_{0}^{\frac{π}{4}} (2 cos^{2} (x)) d x

What is the integral from 0.5 to 1 of cos(x) ?
The integral from 0.5 to 1 of cos(x) is 0.36204…