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Popular >

integral from-5 to 1 of-x^2-3x

Solution

\int_{- 5}^{1} - x^{2} - 3 x d x

Solution

- 6

Solution steps

\int_{- 5}^{1} - x^{2} - 3 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_{- 5}^{1} x^{2} d x - \int_{- 5}^{1} 3 x d x

\int_{- 5}^{1} x^{2} d x = 42

\int_{- 5}^{1} 3 x d x = - 36

= - 42 - (- 36)

Simplify

= - 6

Graph

Popular Examples

integral from 0 to 1 of 1-sqrt(x)

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

integral from 1 to x of 1/(1+t^3)

\int_{1}^{x} \frac{1}{1 + t ^{3}} d t

integral from-x to x of sqrt(x+y)

\int_{- x}^{x} x + y d y

integral from 0 to 1 of-x^2-x^3+2x

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

integral from-2 to x of (28t^2-27t)

\int_{- 2}^{x} (28 t^{2} - 27 t) d t

Frequently Asked Questions (FAQ)

What is the integral from-5 to 1 of-x^2-3x ?
The integral from-5 to 1 of-x^2-3x is -6