What is the integral from 0 to 1.2 of e^xcos(x) ?

The integral from 0 to 1.2 of e^xcos(x) is 1.64877…

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integral from 0 to 1.2 of e^xcos(x)

\int_{0}^{1.2} e^{x} cos (x) d x

1.64877 \dots

Solution steps

\int_{0}^{1.2} e^{x} cos (x) d x

Compute the indefinite integral:

\int e^{x} cos (x) d x = \frac{e ^{x} sin ( x )}{2} + \frac{e ^{x} cos ( x )}{2} + C

Compute the boundaries:

\int_{0}^{1.2} e^{x} cos (x) d x = 2.14877 \dots - \frac{1}{2}

= 2.14877 \dots - \frac{1}{2}

Simplify

= 1.64877 \dots

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What is the integral from 0 to 1.2 of e^xcos(x) ?
The integral from 0 to 1.2 of e^xcos(x) is 1.64877…