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Popular >

integral of (t^3)/2

Solution

integral

\frac{t ^{3}}{2}

Solution

\frac{t ^{4}}{8} + C

Solution steps

\int \frac{t ^{3}}{2} d t

Take the constant out:

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

= \frac{1}{2} \cdot \int t^{3} d t

Apply the Power Rule

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

= \frac{1}{2} \cdot \frac{t ^{4}}{4}

Simplify

\frac{1}{2} \cdot \frac{t ^{4}}{4} : \frac{t ^{4}}{8}

= \frac{t ^{4}}{8}

Add a constant to the solution

= \frac{t ^{4}}{8} + C

Graph

Popular Examples

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x^{\frac{1}{3}}

Frequently Asked Questions (FAQ)

What is the integral of (t^3)/2 ?
The integral of (t^3)/2 is (t^4)/8+C