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Popular >

integral of 4t^3-8t

Solution

\int 4 t^{3} - 8 t d t

Solution

t^{4} - 4 t^{2} + C

Solution steps

\int 4 t^{3} - 8 t d t

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int 4 t^{3} d t - \int 8 t d t

\int 4 t^{3} d t = t^{4}

\int 8 t d t = 4 t^{2}

= t^{4} - 4 t^{2}

Add a constant to the solution

= t^{4} - 4 t^{2} + C

Popular Examples

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\int_{1}^{2} x^{3} d x

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Frequently Asked Questions (FAQ)

What is the integral of 4t^3-8t ?
The integral of 4t^3-8t is t^4-4t^2+C