What is the integral from 0 to 3 of 10x ?

The integral from 0 to 3 of 10x is 45

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integral from 0 to 3 of 10x

\int_{0}^{3} 10 x d x

45

Solution steps

\int_{0}^{3} 10 x d x

Take the constant out:

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

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

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{0}^{3}

= 10 [\frac{x ^{2}}{2}]_{0}^{3}

Compute the boundaries:

\frac{9}{2}

= 10 \cdot \frac{9}{2}

Simplify

= 45

\int_{\frac{π}{2}}^{π} 1

\int_{- 2}^{0} - 7 e^{- 6 x - 3} d x

\int_{0}^{5} 3 x 25 - x^{2} d x

\int_{0}^{3} 8

\int_{0}^{2} 8 x^{2} + 8 d x