Solve ∫ (from -1 ln ( 2 ) to ln ( 2 )) of {(e)^x}-{(e)^-x wrt x

$$\int_{ -1 \ln ( 2 ) }^{ \ln ( 2 ) } {(e)^{ x }} - {(e)^{ -x }} d x$$

Evaluate

$$\frac{3}{2}=1.5$$

Solution Steps

Evaluate the indefinite integral first.

$$\int e^{x}\mathrm{d}x$$

Use \int e^{x}\mathrm{d}x=e^{x} from the table of common integrals to obtain the result.

$$e^{x}$$

The definite integral is the antiderivative of the expression evaluated at the upper limit of integration minus the antiderivative evaluated at the lower limit of integration.

$$e^{\ln(2)\ln(e)^{-1}}-e^{-\ln(2)\ln(e)^{-1}}$$

Simplify.

$$\frac{3}{2}$$