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Popular >

integral of-6t

Solution

\int - 6 t d t

Solution

- 3 t^{2} + C

Solution steps

\int - 6 t d t

Take the constant out:

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

= - 6 \cdot \int t d t

Apply the Power Rule

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

= - 6 \cdot \frac{t ^{2}}{2}

Simplify

- 6 \cdot \frac{t ^{2}}{2} : - 3 t^{2}

= - 3 t^{2}

Add a constant to the solution

= - 3 t^{2} + C

Popular Examples

limit as x approaches-2-of 3x+2

x \to - 2 - lim (3 x + 2)

integral from 1 to 5 of ln(x)

\int_{1}^{5} ln (x) d x

y^{''}-5y^'+6y=2e^{-2s},y(0)=0,y^'(0)=0

y^{^{''}} - 5 y^{^{'}} + 6 y = 2 e^{- 2 s}, y (0) = 0, y^{^{'}} (0) = 0

derivative of (3x^2-10)^{-14}derivative of

(3 x^{2} - 10)^{- 14}

derivative of x/(x^{-1+2})

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

Frequently Asked Questions (FAQ)

What is the integral of-6t ?
The integral of-6t is -3t^2+C