What is the integral of (14x^6y^{-4}-12x^5y^{-3}) ?

The integral of (14x^6y^{-4}-12x^5y^{-3}) is -(2x^6)/(y^3)+(2x^7)/(y^4)+C

Popular >

integral of (14x^6y^{-4}-12x^5y^{-3})

\int (14 x^{6} y^{- 4} - 12 x^{5} y^{- 3}) d x

- \frac{2 x ^{6}}{y ^{3}} + \frac{2 x ^{7}}{y ^{4}} + C

Solution steps

\int 14 x^{6} y^{- 4} - 12 x^{5} y^{- 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 12 y^{- 3} x^{5} d x + \int 14 y^{- 4} x^{6} d x

\int 12 y^{- 3} x^{5} d x = \frac{2 x ^{6}}{y ^{3}}

\int 14 y^{- 4} x^{6} d x = \frac{2 x ^{7}}{y ^{4}}

= - \frac{2 x ^{6}}{y ^{3}} + \frac{2 x ^{7}}{y ^{4}}

Add a constant to the solution

= - \frac{2 x ^{6}}{y ^{3}} + \frac{2 x ^{7}}{y ^{4}} + C

e^{a r c t a n (3 x^{2})}

\frac{d ^{3}}{d x ^{3}} (\frac{x}{x + 1})

\frac{\partial ^{2}}{\partial y ^{2}} (y^{5} sin (3 x))

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

\int 2 x (x^{2} + 7)^{9} d x

What is the integral of (14x^6y^{-4}-12x^5y^{-3}) ?
The integral of (14x^6y^{-4}-12x^5y^{-3}) is -(2x^6)/(y^3)+(2x^7)/(y^4)+C