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Popular >

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

Solution

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

Solution

3

Solution steps

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

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

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

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

= 21 - 15 - 3

Simplify

= 3

Popular Examples

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\int_{1}^{9} (9 - x)^{\frac{1}{3}} d x

integral from 1/4 to 1 of arcsin(x)

\int_{\frac{1}{4}}^{1} arcsin (x) d x

integral from pi to 0 of (sin(x)-2)^2

\int_{π}^{0} (sin (x) - 2)^{2} d x

integral from 0 to 1 of 1/(3x+2)

\int_{0}^{1} \frac{1}{3 x + 2} d x

integral from 0 to 16 of x/(sqrt(4+2x))

\int_{0}^{16} \frac{x}{4 + 2 x} d x

Frequently Asked Questions (FAQ)

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