What is the integral from-1 to 3 of 3x^2 ?

The integral from-1 to 3 of 3x^2 is 28

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integral from-1 to 3 of 3x^2

\int_{- 1}^{3} 3 x^{2} d x

28

Solution steps

\int_{- 1}^{3} 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_{- 1}^{3} x^{2} d x

Apply the Power Rule

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

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

Compute the boundaries:

\frac{28}{3}

= 3 \cdot \frac{28}{3}

Simplify

= 28

f (x) = I n (x)

x \to \infty lim (3 - \frac{1}{x})

\int x^{2} sin (7 x) d x

\frac{z}{1 + z ^{2}}

\int (\frac{1}{( 2 x - 3 ) ( 3 x ^{2} + x )}) d x

What is the integral from-1 to 3 of 3x^2 ?
The integral from-1 to 3 of 3x^2 is 28