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Popular >

integral from 1 to 4 of x^2-2x-3

Solution

\int_{1}^{4} x^{2} - 2 x - 3 d x

Solution

- 3

Solution steps

\int_{1}^{4} x^{2} - 2 x - 3 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} 3 d x

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

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

\int_{1}^{4} 3 d x = 9

= 21 - 15 - 9

Simplify

= - 3

Graph

Popular Examples

integral from 0 to 2 of sgn(x-x^3)

\int_{0}^{2} s g n (x - x^{3}) d x

integral from 0 to a of 1-(x^2)/(a^2)

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

integral from 0 to 2 of pi(4y^2-y^4)

\int_{0}^{2} π (4 y^{2} - y^{4}) d y

integral from-1 to 1 of 1/(sqrt(1-x))

\int_{- 1}^{1} \frac{1}{1 - x} d x

integral from 0 to 6 of sqrt(4-2x)

\int_{0}^{6} 4 - 2 x d x

Frequently Asked Questions (FAQ)

What is the integral from 1 to 4 of x^2-2x-3 ?
The integral from 1 to 4 of x^2-2x-3 is -3