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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

Graph

Popular Examples

integral of (2x+3)/((x^2-x-12)(x+1))

\int \frac{2 x + 3}{( x ^{2} - x - 12 ) ( x + 1 )} d x

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\int e^{x} \cdot cos (2) e^{x} d x

integral of (x^3+x^{-3})/(sqrt(x))

\int \frac{x ^{3} + x ^{- 3}}{x} d x

integral of (1/4 (1-cos^2(4x)))

\int (\frac{1}{4} (1 - cos^{2} (4 x))) d x

integral of e^{2x}4cos(2x)

\int e^{2 x} 4 cos (2 x) d x

Frequently Asked Questions (FAQ)

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