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Popular >

integral of-x-1

Solution

\int - x - 1 d x

Solution

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

Solution steps

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

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

\int 1 d x = x

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

Add a constant to the solution

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

Popular Examples

d/(dt)(9sin(t))

\frac{d}{d t} (9 sin (t))

d/(dt)(te^tcot(t))

\frac{d}{d t} (t e^{t} cot (t))

inverse oflaplace 5/(s^4)inverse laplace

\frac{5}{s ^{4}}

y^{^{'}} = - x

derivative of 200x-0.2x^{5/2}

\frac{d}{d x} (200 x - 0.2 x^{\frac{5}{2}})

Frequently Asked Questions (FAQ)

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