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Popular >

integral from 1 to 3 of-x^2+4x

Solution

\int_{1}^{3} - x^{2} + 4 x d x

Solution

\frac{22}{3}

+1

Decimal

7.33333 \dots

Solution steps

\int_{1}^{3} - 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}^{3} x^{2} d x + \int_{1}^{3} 4 x d x

\int_{1}^{3} x^{2} d x = \frac{26}{3}

\int_{1}^{3} 4 x d x = 16

= - \frac{26}{3} + 16

Simplify

- \frac{26}{3} + 16 : \frac{22}{3}

= \frac{22}{3}

Graph

Popular Examples

integral from 0 to ln(3) of e^{x-e^x}

\int_{0}^{l n (3)} e^{x - e^{x}} d x

integral from-4 to 4 of (x^2-16)

\int_{- 4}^{4} (x^{2} - 16) d x

integral from 0 to 1 of (x+5)/(x^2+5x+6)

\int_{0}^{1} \frac{x + 5}{x ^{2} + 5 x + 6} d x

integral from 0 to 2 of (x)(x)

\int_{0}^{2} (x) (x) d x

integral from x to 4 of 1

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

Frequently Asked Questions (FAQ)

What is the integral from 1 to 3 of-x^2+4x ?
The integral from 1 to 3 of-x^2+4x is 22/3