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Popular Calculus >

integral of 2t^3

Solution

\int 2 t^{3} d t

Solution

\frac{t ^{4}}{2} + C

Solution steps

\int 2 t^{3} d t

Take the constant out:

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

= 2 \cdot \int t^{3} d t

Apply the Power Rule

= 2 \cdot \frac{t ^{4}}{4}

Simplify

2 \cdot \frac{t ^{4}}{4} : \frac{t ^{4}}{2}

= \frac{t ^{4}}{2}

Add a constant to the solution

= \frac{t ^{4}}{2} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of 2t^3 ?
The integral of 2t^3 is (t^4)/2+C