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Popular Calculus >

integral from 1 to 4 of x^2+1

Solution

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

Solution

24

Solution steps

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

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

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

= 21 + 3

Simplify

= 24

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 1 to 4 of x^2+1 ?
The integral from 1 to 4 of x^2+1 is 24