What is the integral from 0 to 1 of 2cos(x) ?

The integral from 0 to 1 of 2cos(x) is 2sin(1)

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integral from 0 to 1 of 2cos(x)

\int_{0}^{1} 2 cos (x) d x

2 sin (1)

Decimal Notation

1.68294 \dots

Solution steps

\int_{0}^{1} 2 cos (x) d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 2 \cdot \int_{0}^{1} cos (x) d x

Use the common integral:

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

= 2 [sin (x)]_{0}^{1}

Compute the boundaries:

sin (1)

= 2 sin (1)

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What is the integral from 0 to 1 of 2cos(x) ?
The integral from 0 to 1 of 2cos(x) is 2sin(1)