What is the integral of 6sqrt(t)-5 ?

The integral of 6sqrt(t)-5 is 4t^{3/2}-5t+C

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integral of 6sqrt(t)-5

\int 6 t - 5 d t

4 t^{\frac{3}{2}} - 5 t + C

Solution steps

\int 6 t - 5 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 6 t d t - \int 5 d t

\int 6 t d t = 4 t^{\frac{3}{2}}

\int 5 d t = 5 t

= 4 t^{\frac{3}{2}} - 5 t

Add a constant to the solution

= 4 t^{\frac{3}{2}} - 5 t + C

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What is the integral of 6sqrt(t)-5 ?
The integral of 6sqrt(t)-5 is 4t^{3/2}-5t+C