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Popular >

integral of t^2-9

Solution

\int t^{2} - 9 d t

Solution

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

Solution steps

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

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

\int 9 d t = 9 t

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

Add a constant to the solution

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

Popular Examples

integral of (3x^2+4x+2)

\int (3 x^{2} + 4 x + 2) d x

derivative of (48/((1-2x)^4))

\frac{d}{d x} (\frac{48}{( 1 - 2 x ) ^{4}})

derivative of ln(x+sqrt(2+x^2))

\frac{d}{d x} (ln (x + 2 + x^{2}))

xy^2y^'=x^3+y^3

x y^{2} y^{^{'}} = x^{3} + y^{3}

integral from 0 to pi/6 of ln(sec(x))

\int_{0}^{\frac{π}{6}} ln (sec (x)) d x

Frequently Asked Questions (FAQ)

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