What is the integral from-3 to 3 of sinh(x)+cosh(x) ?

The integral from-3 to 3 of sinh(x)+cosh(x) is (e^6-1)/(e^3)

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integral from-3 to 3 of sinh(x)+cosh(x)

\int_{- 3}^{3} sinh (x) + cosh (x) d x

\frac{e ^{6} - 1}{e ^{3}}

Decimal

20.03574 \dots

Solution steps

\int_{- 3}^{3} sinh (x) + cosh (x) d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{- 3}^{3} sinh (x) d x + \int_{- 3}^{3} cosh (x) d x

\int_{- 3}^{3} sinh (x) d x = 0

\int_{- 3}^{3} cosh (x) d x = \frac{e ^{6} - 1}{e ^{3}}

= 0 + \frac{e ^{6} - 1}{e ^{3}}

Simplify

= \frac{e ^{6} - 1}{e ^{3}}

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What is the integral from-3 to 3 of sinh(x)+cosh(x) ?
The integral from-3 to 3 of sinh(x)+cosh(x) is (e^6-1)/(e^3)