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Popular >

integral from 0 to x of 2-x

Solution

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

Solution

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

Solution steps

\int_{0}^{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_{0}^{x} 2 d x - \int_{0}^{x} x d x

\int_{0}^{x} 2 d x = 2 x

\int_{0}^{x} x d x = \frac{x ^{2}}{2}

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

Popular Examples

integral from 0 to 2pi of 1+cos(x)

\int_{0}^{2 π} 1 + cos (x) d x

integral from-3 to 1 of xsqrt(1-x)

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

integral from 0 to 2 of (x^4+6)

\int_{0}^{2} (x^{4} + 6) d x

integral from ln(4) to 0 of e^{-2x}

\int_{l n (4)}^{0} e^{- 2 x} d x

integral from 0 to 2pi of 2xsin(x)

\int_{0}^{2 π} 2 x sin (x) d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to x of 2-x ?
The integral from 0 to x of 2-x is 2x-(x^2)/2