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Popular >

integral of-x^2-1

Solution

\int - x^{2} - 1 d x

Solution

- \frac{x ^{3}}{3} - x + C

Solution steps

\int - x^{2} - 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^{2} d x - \int 1 d x

\int x^{2} d x = \frac{x ^{3}}{3}

\int 1 d x = x

= - \frac{x ^{3}}{3} - x

Add a constant to the solution

= - \frac{x ^{3}}{3} - x + C

Popular Examples

y^'=(x-y+1)/(x+y-3)

y^{^{'}} = \frac{x - y + 1}{x + y - 3}

derivative of f(x)=(2-ln(x^2))/(x^2)derivative of

f (x) = \frac{2 - ln ( x ^{2} )}{x ^{2}}

sum from n=1,3,5 to infinity of 1/(n^2)

n = 1, 3, 5 \sum \infty \frac{1}{n ^{2}}

tangent of f(x)=(5x)/(x+4),(1,1)tangent of

f (x) = \frac{5 x}{x + 4}, (1, 1)

derivative of b/(x^2)

\frac{d}{d x} (\frac{b}{x ^{2}})

Frequently Asked Questions (FAQ)

What is the integral of-x^2-1 ?
The integral of-x^2-1 is -(x^3)/3-x+C