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Popular >

integral of 1-x

Solution

\int 1 - x d x

Solution

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

Solution steps

\int 1 - 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 d x - \int x d x

\int 1 d x = x

\int x d x = \frac{x ^{2}}{2}

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

Add a constant to the solution

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

Popular Examples

derivative of (x-1)^4 derivative of

(x - 1)^{4}

integral of sec^4(xta)n^5x

\int sec^{4} (x t a) n^{5} x d x

sum from n=1 to infinity of 4/(n(n+7))

n = 1 \sum \infty \frac{4}{n ( n + 7 )}

sum from n=2 to infinity of n/(n+2)

n = 2 \sum \infty \frac{n}{n + 2}

derivative of f(x)=(x^2+3x-2)/(x^2-5x+6)derivative of

f (x) = \frac{x ^{2} + 3 x - 2}{x ^{2} - 5 x + 6}

Frequently Asked Questions (FAQ)

What is the integral of 1-x ?
The integral of 1-x is x-(x^2)/2+C