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Popular >

integral from 4 to-2 of (6x^2+x)

Solution

\int_{4}^{- 2} (6 x^{2} + x) d x

Solution

- 150

Solution steps

\int_{4}^{- 2} 6 x^{2} + x d x

\int_{a}^{b} f (x) d x = - \int_{b}^{a} f (x) d x, a < b

= - \int_{- 2}^{4} 6 x^{2} + x d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= - (\int_{- 2}^{4} 6 x^{2} d x + \int_{- 2}^{4} x d x)

\int_{- 2}^{4} 6 x^{2} d x = 144

\int_{- 2}^{4} x d x = 6

= - (144 + 6)

Simplify

= - 150

Graph

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\int_{0}^{π} \frac{1}{1 - cos ( x )} d x

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

integral from 0 to 1 of xsqrt(16x^2+9)

\int_{0}^{1} x 16 x^{2} + 9 d x

Frequently Asked Questions (FAQ)

What is the integral from 4 to-2 of (6x^2+x) ?
The integral from 4 to-2 of (6x^2+x) is -150