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Popular >

integral of-1728-x^3

Solution

\int - 1728 - x^{3} d x

Solution

- 1728 x - \frac{x ^{4}}{4} + C

Solution steps

\int - 1728 - x^{3} 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 1728 d x - \int x^{3} d x

\int 1728 d x = 1728 x

\int x^{3} d x = \frac{x ^{4}}{4}

= - 1728 x - \frac{x ^{4}}{4}

Add a constant to the solution

= - 1728 x - \frac{x ^{4}}{4} + C

Popular Examples

integral from 4 to 8 of 5/(12-x)

\int_{4}^{8} \frac{5}{12 - x} d x

derivative of (arctan(5x)^2)

\frac{d}{d x} ((arctan (5 x))^{2})

integral of (x^4+8x^2+8)/(x^3-4x)

\int \frac{x ^{4} + 8 x ^{2} + 8}{x ^{3} - 4 x} d x

taylor x^3-3x^2+5x-7,0 taylor

x^{3} - 3 x^{2} + 5 x - 7, 0

slope of (1.7)(3.3)slope

(1.7) (3.3)

Frequently Asked Questions (FAQ)

What is the integral of-1728-x^3 ?
The integral of-1728-x^3 is -1728x-(x^4)/4+C