What is the integral from ln(2) to 3 of 5e^x ?

The integral from ln(2) to 3 of 5e^x is 5(e^3-2)

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integral from ln(2) to 3 of 5e^x

\int_{l n (2)}^{3} 5 e^{x} d x

5 (e^{3} - 2)

Decimal Notation

90.42768 \dots

Solution steps

\int_{l n (2)}^{3} 5 e^{x} d x

Take the constant out:

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

= 5 \cdot \int_{l n (2)}^{3} e^{x} d x

Use the common integral:

\int e^{x} d x = e^{x}

= 5 [e^{x}]_{l n (2)}^{3}

Compute the boundaries:

e^{3} - 2

= 5 (e^{3} - 2)

\int_{- π}^{π} ∣ x ∣ d x

\frac{\partial}{\partial x} (\frac{1}{( 1 + x ^{2} + y ^{2} )})

f (x) = \frac{2 x}{1 + x ^{2}}

\frac{\partial}{\partial x} (\frac{4 x ^{3}}{x ^{2} + y ^{2}})

\frac{d y}{d x} = 9 y e^{x + 9}

What is the integral from ln(2) to 3 of 5e^x ?
The integral from ln(2) to 3 of 5e^x is 5(e^3-2)