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Popular >

integral from 4 to 2 of x

Solution

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

Solution

- 6

Solution steps

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

\int_{a}^{b} f (x) d x = - \int_{b}^{a} f (x) d x, a < b

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

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{2}^{4}

= - [\frac{x ^{2}}{2}]_{2}^{4}

Compute the boundaries:

6

= - 6

Popular Examples

integral of (-x)/(e^x)

\int \frac{- x}{e ^{x}} d x

derivative of 900x-0.1x^2 derivative of

900 x - 0.1 x^{2}

integral of (cos(3x))/(sin^4(3x))

\int \frac{cos ( 3 x )}{sin ^{4} ( 3 x )} d x

tangent of f(x)=2x^2-18x+5,\at x=0 tangent of

f (x) = 2 x^{2} - 18 x + 5, at x = 0

limit as x approaches infinity of (3x^2-x-2)/(5x^2-4x+1)

x \to \infty lim (\frac{3 x ^{2} - x - 2}{5 x ^{2} - 4 x + 1})

Frequently Asked Questions (FAQ)

What is the integral from 4 to 2 of x ?
The integral from 4 to 2 of x is -6