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Popular >

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

Solution

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

Solution

\frac{38}{3}

+1

Decimal

12.66666 \dots

Solution steps

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

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

\int_{1}^{3} 2 x d x = 8

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

= \frac{26}{3} + 8 - 4

Simplify

\frac{26}{3} + 8 - 4 : \frac{38}{3}

= \frac{38}{3}

Graph

Popular Examples

integral from 1 to 4 of x^{3/2}ln(x)

\int_{1}^{4} x^{\frac{3}{2}} ln (x) d x

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

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

f (t) = 3 t

integral from 0 to 1 of x/((3x^2+1)^4)

\int_{0}^{1} \frac{x}{( 3 x ^{2} + 1 ) ^{4}} d x

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

\int_{0}^{2 x} \frac{x y}{x ^{2} + y ^{2}} d y

Frequently Asked Questions (FAQ)

What is the integral from 1 to 3 of x^2+2x-2 ?
The integral from 1 to 3 of x^2+2x-2 is 38/3