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Popular >

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

Solution

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

Solution

- \frac{128}{3}

+1

Decimal

- 42.66666 \dots

Solution steps

\int_{- 4}^{4} - 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_{- 4}^{4} x^{2} d x - \int_{- 4}^{4} 3 x d x

\int_{- 4}^{4} x^{2} d x = \frac{128}{3}

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

= - \frac{128}{3} - 0

Simplify

= - \frac{128}{3}

Graph

Popular Examples

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\int_{0}^{2} (3 t - 1)^{56} d t

integral from 1 to e^{-x^2 of}(ln(t))^4

\int_{1}^{e^{- x^{2}}} (ln (t))^{4} d t

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\int_{0}^{\frac{1}{5}} \frac{1}{100 x ^{2} + 4} d x

integral from 1 to 4 of e^{bx-b}

\int_{1}^{4} e^{b x - b} d x

integral from 0 to 1 of sqrt(s+t)

\int_{0}^{1} s + t d s

Frequently Asked Questions (FAQ)

What is the integral from-4 to 4 of-x^2-3x ?
The integral from-4 to 4 of-x^2-3x is -128/3