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Popular >

integral from 1 to 4 of x^2+5

Solution

\int_{1}^{4} x^{2} + 5 d x

Solution

36

Solution steps

\int_{1}^{4} x^{2} + 5 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} 5 d x

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

\int_{1}^{4} 5 d x = 15

= 21 + 15

Simplify

= 36

Graph

Popular Examples

integral from-2 to 3 of e^{-t}

\int_{- 2}^{3} e^{- t} d t

integral from 0 to 2 of x^2+3x

\int_{0}^{2} x^{2} + 3 x d x

integral from 0 to 3 of x^2+4

\int_{0}^{3} x^{2} + 4 d x

integral from 0 to 8 of sqrt(1+9/4 x)

\int_{0}^{8} 1 + \frac{9}{4} x d x

integral from 5.5 to 10 of (1/2 x)+5.5

\int_{5.5}^{10} (\frac{1}{2} x) + 5.5 d x

Frequently Asked Questions (FAQ)

What is the integral from 1 to 4 of x^2+5 ?
The integral from 1 to 4 of x^2+5 is 36