What is the integral of-20t^{2/3}-70 ?

The integral of-20t^{2/3}-70 is -12t^{5/3}-70t+C

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integral of-20t^{2/3}-70

\int - 20 t^{\frac{2}{3}} - 70 d t

- 12 t^{\frac{5}{3}} - 70 t + C

Solution steps

\int - 20 t^{\frac{2}{3}} - 70 d t

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= - \int 20 t^{\frac{2}{3}} d t - \int 70 d t

\int 20 t^{\frac{2}{3}} d t = 12 t^{\frac{5}{3}}

\int 70 d t = 70 t

= - 12 t^{\frac{5}{3}} - 70 t

Add a constant to the solution

= - 12 t^{\frac{5}{3}} - 70 t + C

\frac{3}{8 ( s + 1 )}

2 t d t + (y - 3 t) d y = 0

\frac{d}{d x} (2 - 5 x)

x \to \infty lim (e^{x} - 2 x)

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

What is the integral of-20t^{2/3}-70 ?
The integral of-20t^{2/3}-70 is -12t^{5/3}-70t+C