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Popular >

integral from 3 to 6 of (x^2-2x)

Solution

\int_{3}^{6} (x^{2} - 2 x) d x

Solution

36

Solution steps

\int_{3}^{6} x^{2} - 2 x 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_{3}^{6} x^{2} d x - \int_{3}^{6} 2 x d x

\int_{3}^{6} x^{2} d x = 63

\int_{3}^{6} 2 x d x = 27

= 63 - 27

Simplify

= 36

Popular Examples

integral of 1/((x^2-4)^2)

\int \frac{1}{( x ^{2} - 4 ) ^{2}} d x

derivative of f(x)=sin(tan(3x))derivative of

f (x) = sin (tan (3 x))

tangent of-x^2+2x+4,\at x=3 tangent of

- x^{2} + 2 x + 4, at x = 3

tangent of f(x)=(4x)/(x^2+1),\at x=1 tangent of

f (x) = \frac{4 x}{x ^{2} + 1}, at x = 1

integral of 1/(xsqrt(x^2-5))

\int \frac{1}{x x ^{2} - 5} d x

Frequently Asked Questions (FAQ)

What is the integral from 3 to 6 of (x^2-2x) ?
The integral from 3 to 6 of (x^2-2x) is 36