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Popular >

integral from 1 to x of 2-x

Solution

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

Solution

2 x - 2 - \frac{x ^{2} - 1}{2}

Solution steps

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

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

\int_{1}^{x} x d x = \frac{x ^{2} - 1}{2}

= 2 x - 2 - \frac{x ^{2} - 1}{2}

Popular Examples

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

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

integral from 2t to 3t of (sin(x))/(2x)

\int_{2 t}^{3 t} \frac{sin ( x )}{2 x} d x

integral from 0 to 1 of 2y^3

\int_{0}^{1} 2 y^{3} d y

integral from-2 to 0 of x^3+x^2-2x

\int_{- 2}^{0} x^{3} + x^{2} - 2 x d x

integral from 0 to 3 of-72x^{-3}

\int_{0}^{3} - 72 x^{- 3} d x

Frequently Asked Questions (FAQ)

What is the integral from 1 to x of 2-x ?
The integral from 1 to x of 2-x is 2x-2-(x^2-1)/2