What is the integral from 2 to 4 of 3x^2 ?

The integral from 2 to 4 of 3x^2 is 56

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integral from 2 to 4 of 3x^2

\int_{2}^{4} 3 x^{2} d x

56

Solution steps

\int_{2}^{4} 3 x^{2} d x

Take the constant out:

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

= 3 \cdot \int_{2}^{4} x^{2} d x

Apply the Power Rule

: [\frac{x ^{3}}{3}]_{2}^{4}

= 3 [\frac{x ^{3}}{3}]_{2}^{4}

Compute the boundaries:

\frac{56}{3}

= 3 \cdot \frac{56}{3}

Simplify

= 56

\int_{- 1}^{1} x + 2 x^{2} - x^{3} + 5 x^{4} d x

\int_{0}^{1} (x + 3) d x

\int_{0}^{c o s (x)} e^{- t^{3}} d t

\int_{- π}^{0} 2 x^{4} d x

\int_{- 3}^{5} 2 x + 15 - x^{2} d x

What is the integral from 2 to 4 of 3x^2 ?
The integral from 2 to 4 of 3x^2 is 56