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Popular >

integral of 5/2 t^2

Solution

\int \frac{5}{2} t^{2} d t

Solution

\frac{5 t ^{3}}{6} + C

Solution steps

\int \frac{5}{2} t^{2} d t

Take the constant out:

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

= \frac{5}{2} \cdot \int t^{2} d t

Apply the Power Rule

: \frac{t ^{3}}{3}

= \frac{5}{2} \cdot \frac{t ^{3}}{3}

Simplify

\frac{5}{2} \cdot \frac{t ^{3}}{3} : \frac{5 t ^{3}}{6}

= \frac{5 t ^{3}}{6}

Add a constant to the solution

= \frac{5 t ^{3}}{6} + C

Graph

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\int - 5 \frac{x ^{4}}{1 - x ^{5}} d x

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\int \frac{1}{x ^{2} - x + 20} d x

Frequently Asked Questions (FAQ)

What is the integral of 5/2 t^2 ?
The integral of 5/2 t^2 is (5t^3)/6+C