What is the integral from 1 to 4 of 4x^2 ?

The integral from 1 to 4 of 4x^2 is 84

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integral from 1 to 4 of 4x^2

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

84

Solution steps

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

Take the constant out:

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

= 4 \cdot \int_{1}^{4} x^{2} d x

Apply the Power Rule

: [\frac{x ^{3}}{3}]_{1}^{4}

= 4 [\frac{x ^{3}}{3}]_{1}^{4}

Compute the boundaries:

21

= 4 \cdot 21

Simplify

= 84

\int e^{s i n (x)} d x

5 x e^{- x} - 3 e^{x^{2}}

x \to \infty lim (1 0^{x})

(6 x)^{5 x}

\frac{d}{d y} (- x^{2} y^{2} sin (x) + 2 x y^{2} cos (x))

What is the integral from 1 to 4 of 4x^2 ?
The integral from 1 to 4 of 4x^2 is 84