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Popular >

integral from-1 to 0 of x^3-6x

Solution

\int_{- 1}^{0} x^{3} - 6 x d x

Solution

\frac{11}{4}

+1

Solution steps

\int_{- 1}^{0} x^{3} - 6 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_{- 1}^{0} x^{3} d x - \int_{- 1}^{0} 6 x d x

\int_{- 1}^{0} x^{3} d x = - \frac{1}{4}

\int_{- 1}^{0} 6 x d x = - 3

= - \frac{1}{4} - (- 3)

Simplify

- \frac{1}{4} - (- 3) : \frac{11}{4}

= \frac{11}{4}

Popular Examples

integral from 1 to 4 of 7/(xln(7x))

\int_{1}^{4} \frac{7}{x ln ( 7 x )} d x

integral from-2 to 0 of-x^3+4x

\int_{- 2}^{0} - x^{3} + 4 x d x

integral from 0 to 1 of x^2sqrt(2+x)

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

integral from 1 to 2 of pi(x^{-1251})^2

\int_{1}^{2} π (x^{- 1251})^{2} d x

integral from 1 to 4 of 1/(2y)

\int_{1}^{4} \frac{1}{2 y} d y

Frequently Asked Questions (FAQ)

What is the integral from-1 to 0 of x^3-6x ?
The integral from-1 to 0 of x^3-6x is 11/4