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Popular >

integral from-1 to 4 of x^2-4x

Solution

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

Solution

- \frac{25}{3}

+1

Decimal

- 8.33333 \dots

Solution steps

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

\int_{- 1}^{4} x^{2} d x = \frac{65}{3}

\int_{- 1}^{4} 4 x d x = 30

= \frac{65}{3} - 30

Simplify

\frac{65}{3} - 30 : - \frac{25}{3}

= - \frac{25}{3}

Graph

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

Frequently Asked Questions (FAQ)

What is the integral from-1 to 4 of x^2-4x ?
The integral from-1 to 4 of x^2-4x is -25/3