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Popular >

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

Solution

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

Solution

36

Solution steps

\int_{1}^{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_{1}^{4} x^{2} d x + \int_{1}^{4} 2 x d x

\int_{1}^{4} x^{2} d x = 21

\int_{1}^{4} 2 x d x = 15

= 21 + 15

Simplify

= 36

Popular Examples

integral from 0 to 4 of 15-2x-7

\int_{0}^{4} 15 - 2 x - 7 d x

integral from 1 to 4 of (1+t)/(sqrt(t))

\int_{1}^{4} \frac{1 + t}{t} d t

integral from 0 to 5 of xe^{x-5}

\int_{0}^{5} x e^{x - 5} d x

integral from-1 to 0 of x^5

\int_{- 1}^{0} x^{5} d x

integral from-c to c of 3/2 x^2

\int_{- c}^{c} \frac{3}{2} x^{2} d x

Frequently Asked Questions (FAQ)

What is the integral from 1 to 4 of (x^2+2x) ?
The integral from 1 to 4 of (x^2+2x) is 36