What is the integral from 10 to 13 of 2x ?

The integral from 10 to 13 of 2x is 69

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integral from 10 to 13 of 2x

\int_{10}^{13} 2 x d x

69

Solution steps

\int_{10}^{13} 2 x d x

Take the constant out:

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

= 2 \cdot \int_{10}^{13} x d x

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{10}^{13}

= 2 [\frac{x ^{2}}{2}]_{10}^{13}

Compute the boundaries:

\frac{69}{2}

= 2 \cdot \frac{69}{2}

Simplify

= 69

y = x^{2} e^{- x}

\frac{d y}{d x} + \frac{y}{x + 2} = 5 (x - 2) y^{\frac{1}{2}}

y = 4 x - 3 x^{2}

\int \frac{1}{x ( x ^{3} - 1 )} d x

n = 1 \sum \infty \frac{2}{π ^{n}}

What is the integral from 10 to 13 of 2x ?
The integral from 10 to 13 of 2x is 69