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Popular >

integral of 12t^3

Solution

\int 12 t^{3} d t

Solution

3 t^{4} + C

Solution steps

\int 12 t^{3} d t

Take the constant out:

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

= 12 \cdot \int t^{3} d t

Apply the Power Rule

: \frac{t ^{4}}{4}

= 12 \cdot \frac{t ^{4}}{4}

Simplify

12 \cdot \frac{t ^{4}}{4} : 3 t^{4}

= 3 t^{4}

Add a constant to the solution

= 3 t^{4} + C

Popular Examples

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\frac{d}{d x} (x^{0.7} y^{0.3})

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\frac{d}{d x} (\frac{4 x ^{4} + 7}{x ^{2}})

y^'=0.06y-0.0006y^2

y^{^{'}} = 0.06 y - 0.0006 y^{2}

Frequently Asked Questions (FAQ)

What is the integral of 12t^3 ?
The integral of 12t^3 is 3t^4+C