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Popular >

integral of t^{-3}

Solution

\int t^{- 3} d t

Solution

- \frac{1}{2 t ^{2}} + C

Solution steps

\int t^{- 3} d t

Apply the Power Rule

: - \frac{1}{2 t ^{2}}

= - \frac{1}{2 t ^{2}}

Add a constant to the solution

= - \frac{1}{2 t ^{2}} + C

Popular Examples

integral of (x^3)/(sqrt(25+x^2))

\int \frac{x ^{3}}{25 + x ^{2}} d x

tangent of f(x)=-3x^2+12,\at x=3 tangent of

f (x) = - 3 x^{2} + 12, at x = 3

8x^2y+y^'=10x^2

8 x^{2} y + y^{^{'}} = 10 x^{2}

derivative of 4x^3-33x^2+84x-60 derivative of

4 x^{3} - 33 x^{2} + 84 x - 60

derivative of 2xsqrt(16-x^2)

\frac{d}{d x} (2 x 16 - x^{2})

Frequently Asked Questions (FAQ)

What is the integral of t^{-3} ?
The integral of t^{-3} is -1/(2t^2)+C