What is the integral from 1 to 7 of xe^x ?

The integral from 1 to 7 of xe^x is 6e^7

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integral from 1 to 7 of xe^x

\int_{1}^{7} x e^{x} d x

6 e^{7}

Decimal

6579.79895 \dots

Solution steps

\int_{1}^{7} x e^{x} d x

Apply Integration By Parts

: [e^{x} x - \int e^{x} d x]_{1}^{7}

= [e^{x} x - \int e^{x} d x]_{1}^{7}

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

= [e^{x} x - e^{x}]_{1}^{7}

Compute the boundaries:

6 e^{7}

= 6 e^{7}

\int_{4}^{6} \frac{1}{x ^{2}} d x

\int_{1}^{2} (3 x^{2} - 5 x + 7) d x

\int_{0}^{\frac{8}{3}} \frac{1}{9 x ^{2} + 64} d x

\int_{0}^{\frac{π}{2}} \frac{π}{sin ( x )} d x

\int_{0}^{1} t 4 + 5 t d t

What is the integral from 1 to 7 of xe^x ?
The integral from 1 to 7 of xe^x is 6e^7