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

The integral from-2 to-1 of 3x^2 is 7

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integral from-2 to-1 of 3x^2

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

7

Solution steps

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

Apply the Power Rule

: [\frac{x ^{3}}{3}]_{- 2}^{- 1}

= 3 [\frac{x ^{3}}{3}]_{- 2}^{- 1}

Compute the boundaries:

\frac{7}{3}

= 3 \cdot \frac{7}{3}

Simplify

= 7

\int_{1}^{9} (\frac{6}{x}) d x

\int_{- 9}^{- 2} - \frac{3}{( x + 3 ) ^{2}} d x

\int_{0}^{2} 9 d x

\int_{0}^{\frac{π}{3}} sec (θ) d θ

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

What is the integral from-2 to-1 of 3x^2 ?
The integral from-2 to-1 of 3x^2 is 7