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Popular >

integral of 3/(t^5)

Solution

\int \frac{3}{t ^{5}} d t

Solution

- \frac{3}{4 t ^{4}} + C

Solution steps

\int \frac{3}{t ^{5}} d t

Take the constant out:

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

= 3 \cdot \int \frac{1}{t ^{5}} d t

Apply the Power Rule

: - \frac{1}{4 t ^{4}}

= 3 (- \frac{1}{4 t ^{4}})

Simplify

3 (- \frac{1}{4 t ^{4}}) : - \frac{3}{4 t ^{4}}

= - \frac{3}{4 t ^{4}}

Add a constant to the solution

= - \frac{3}{4 t ^{4}} + C

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Frequently Asked Questions (FAQ)

What is the integral of 3/(t^5) ?
The integral of 3/(t^5) is -3/(4t^4)+C