What is the integral from 0 to 1 of 10e^{x+3} ?

The integral from 0 to 1 of 10e^{x+3} is 10e^4-10e^3

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integral from 0 to 1 of 10e^{x+3}

\int_{0}^{1} 10 e^{x + 3} d x

10 e^{4} - 10 e^{3}

Decimal Notation

345.12613 \dots

Solution steps

\int_{0}^{1} 10 e^{x + 3} d x

Take the constant out:

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

= 10 \cdot \int_{0}^{1} e^{x + 3} d x

e^{x + 3} = e^{3} e^{x}

= 10 \cdot \int_{0}^{1} e^{3} e^{x} d x

Take the constant out:

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

= 10 e^{3} \cdot \int_{0}^{1} e^{x} d x

Use the common integral:

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

= 10 e^{3} [e^{x}]_{0}^{1}

Compute the boundaries:

e - 1

= 10 e^{3} (e - 1)

Simplify

= 10 e^{4} - 10 e^{3}

\int_{0}^{4} (x^{2} - 2 x) d x

\int_{0}^{3} e^{3 x} d x

\int_{1}^{4} x 3 - x d x

\int_{x}^{0} t^{2} + 4 d t

\int_{\frac{π}{6}}^{\frac{π}{3}} csc^{3} (x) d x

What is the integral from 0 to 1 of 10e^{x+3} ?
The integral from 0 to 1 of 10e^{x+3} is 10e^4-10e^3