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Popular >

integral of-10t^2+9

Solution

\int - 10 t^{2} + 9 d t

Solution

- \frac{10 t ^{3}}{3} + 9 t + C

Solution steps

\int - 10 t^{2} + 9 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 10 t^{2} d t + \int 9 d t

\int 10 t^{2} d t = \frac{10 t ^{3}}{3}

\int 9 d t = 9 t

= - \frac{10 t ^{3}}{3} + 9 t

Add a constant to the solution

= - \frac{10 t ^{3}}{3} + 9 t + C

Popular Examples

integral of 5/(sqrt(64-81t^2))

\int \frac{5}{64 - 81 t ^{2}} d t

integral of (-1)/(x^2-2x-3)

\int \frac{- 1}{x ^{2} - 2 x - 3} d x

integral of (7/(x^6))

\int (\frac{7}{x ^{6}}) d x

integral of xe^{x^2+y^2}

\int x e^{x^{2} + y^{2}} d x

integral of (4ln(x))/(x^4)

\int \frac{4 ln ( x )}{x ^{4}} d x

Frequently Asked Questions (FAQ)

What is the integral of-10t^2+9 ?
The integral of-10t^2+9 is -(10t^3)/3+9t+C