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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

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y = (x + \frac{1}{x}) (x - \frac{1}{x})

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\frac{d}{d x} (\frac{cos ( x ^{3} )}{e ^{x}})

f(x)=sqrt(x^2-4)

f (x) = x^{2} - 4

derivative of sqrt(x^3-x)derivative of

x^{3} - x

taylor 3/(1-x)taylor

\frac{3}{1 - x}

Frequently Asked Questions (FAQ)

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