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Popular >

integral of 9-t^2

Solution

\int 9 - t^{2} d t

Solution

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

Solution steps

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

\int 9 d t = 9 t

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

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

Add a constant to the solution

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

Popular Examples

integral of cos(3x)-sin(x)

\int cos (3 x) - sin (x) d x

area x=y^2-36,x=36-y^2 area

x = y^{2} - 36, x = 36 - y^{2}

derivative of 6ln(4x)

\frac{d}{d x} (6 ln (4 x))

integral of 8/(sqrt(x))

\int \frac{8}{x} d x

(dy)/(dx)=85yx^{16}

\frac{d y}{d x} = 85 y x^{16}

Frequently Asked Questions (FAQ)

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