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Popular >

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

Solution

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

Solution

24

Solution steps

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

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

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

= 3 + 21

Simplify

= 24

Graph

Popular Examples

integral from 0 to x of t/(9+t^2)

\int_{0}^{x} \frac{t}{9 + t ^{2}} d t

integral from 1 to 2 of x^3*cos(x^4)

\int_{1}^{2} x^{3} \cdot cos (x^{4}) d x

integral from 0 to 9 of sqrt(x)-1/2 x

\int_{0}^{9} x - \frac{1}{2} x d x

integral from 1 to 5 of 6

\int_{1}^{5} 6 d x

integral from-1 to 0 of e^{sqrt(x+1)}

\int_{- 1}^{0} e^{x + 1} d x

Frequently Asked Questions (FAQ)

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