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Popular >

integral from-1 to 2 of x-6x^2

Solution

\int_{- 1}^{2} x - 6 x^{2} d x

Solution

- \frac{33}{2}

+1

Decimal Notation

- 16.5

Solution steps

\int_{- 1}^{2} x - 6 x^{2} 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_{- 1}^{2} x d x - \int_{- 1}^{2} 6 x^{2} d x

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

\int_{- 1}^{2} 6 x^{2} d x = 18

= \frac{3}{2} - 18

Simplify

\frac{3}{2} - 18 : - \frac{33}{2}

= - \frac{33}{2}

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\int \frac{15 - 15 x}{1 - x} d x

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\int y^{2} sin (8 y) d y

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x \to 0 - lim (\frac{e ^{- x}}{x ( x + 2 ) ^{2}})

(sqrt(x)+x)(dy)/(dx)=sqrt(y)+y

(x + x) \frac{d y}{d x} = y + y

Frequently Asked Questions (FAQ)

What is the integral from-1 to 2 of x-6x^2 ?
The integral from-1 to 2 of x-6x^2 is -33/2