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Popular >

integral from-1 to 0 of-x+2x^2

Solution

\int_{- 1}^{0} - x + 2 x^{2} d x

Solution

\frac{7}{6}

+1

Decimal Notation

1.16666 \dots

Solution steps

\int_{- 1}^{0} - x + 2 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}^{0} x d x + \int_{- 1}^{0} 2 x^{2} d x

\int_{- 1}^{0} x d x = - \frac{1}{2}

\int_{- 1}^{0} 2 x^{2} d x = \frac{2}{3}

= - (- \frac{1}{2}) + \frac{2}{3}

Simplify

- (- \frac{1}{2}) + \frac{2}{3} : \frac{7}{6}

= \frac{7}{6}

Popular Examples

limit as x approaches pi of 6cot(x)

x \to π lim (6 cot (x))

(d^2y)/(dx^2)=sqrt(1+(dy)/(dx))

\frac{d ^{2} y}{d x ^{2}} = 1 + \frac{d y}{d x}

limit as x approaches 0 of 1/(sin^2(2x))

x \to 0 lim (\frac{1}{sin ^{2} ( 2 x )})

y^{^{'}} = t y + t

x y^{^{'}} + y = - 5 x y^{2}

Frequently Asked Questions (FAQ)

What is the integral from-1 to 0 of-x+2x^2 ?
The integral from-1 to 0 of-x+2x^2 is 7/6