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Popular >

integral of 1-x

Solution

integral

1 - 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

integral of 2t^2 integral

2 t^{2}

integral of 1/(cos^3(x))integral

\frac{1}{cos ^{3} ( x )}

integral of x/((1-x))integral

\frac{x}{( 1 - x )}

integral of e^5x integral

e^{5} x

integral of x/4 integral

\frac{x}{4}

Frequently Asked Questions (FAQ)

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