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Popular Calculus >

integral from 2 to 4 of x^2+2x

Solution

\int_{2}^{4} x^{2} + 2 x d x

Solution

\frac{92}{3}

+1

Decimal

30.66666 \dots

Solution steps

\int_{2}^{4} x^{2} + 2 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_{2}^{4} x^{2} d x + \int_{2}^{4} 2 x d x

\int_{2}^{4} x^{2} d x = \frac{56}{3}

\int_{2}^{4} 2 x d x = 12

= \frac{56}{3} + 12

Simplify

\frac{56}{3} + 12 : \frac{92}{3}

= \frac{92}{3}

Graph

Popular Examples

integral from-3 to 1 of x^2

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

integral from 1 to 4 of (2x-4/(x^2))

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

integral from-8 to 4 of sqrt(32-4x-x^2)

\int_{- 8}^{4} 32 - 4 x - x^{2} d x

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

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

integral from 0 to 2pi of-27sin^2(t)

\int_{0}^{2 π} - 27 sin^{2} (t) d t

Frequently Asked Questions (FAQ)

What is the integral from 2 to 4 of x^2+2x ?
The integral from 2 to 4 of x^2+2x is 92/3