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Popular >

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

Solution

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

Solution

- \frac{11}{6}

+1

Decimal Notation

- 1.83333 \dots

Solution steps

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

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

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

= - \frac{1}{3} - \frac{3}{2}

Simplify

- \frac{1}{3} - \frac{3}{2} : - \frac{11}{6}

= - \frac{11}{6}

Popular Examples

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

\int_{1}^{3} (x^{3} + 1) d x

integral from-2 to 1 of (2-x)-x^2

\int_{- 2}^{1} (2 - x) - x^{2} d x

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

\int_{0}^{x} \frac{1}{( 1 + x ) ^{2}} d x

integral from 4 to 7 of (2x+1)e^{0.4x}

\int_{4}^{7} (2 x + 1) e^{0.4 x} d x

integral from 0 to log_{3 of (5)}3^x

\int_{0}^{l o g_{3} (5)} 3^{x} d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 1 of-x^2-3x ?
The integral from 0 to 1 of-x^2-3x is -11/6