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Popular >

integral of-t^2

Solution

\int - t^{2} d t

Solution

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

Solution steps

\int - t^{2} d t

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= - \int t^{2} d t

Apply the Power Rule

: \frac{t ^{3}}{3}

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

Add a constant to the solution

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

Popular Examples

integral from 1 to 5 of 1/(sqrt(3x+1))

\int_{1}^{5} \frac{1}{3 x + 1} d x

derivative of (4x^2+2x+2/(sqrt(x)))

\frac{d}{d x} (\frac{4 x ^{2} + 2 x + 2}{x})

integral of 1+tan^2(x)

\int 1 + tan^{2} (x) d x

integral from 1 to e of ln(2x)

\int_{1}^{e} ln (2 x) d x

6 y^{^{''}} + y^{^{'}} = 0

Frequently Asked Questions (FAQ)

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