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Popular >

integral of 1/(3t^3)

Solution

\int \frac{1}{3 t ^{3}} d t

Solution

- \frac{1}{6 t ^{2}} + C

Solution steps

\int \frac{1}{3 t ^{3}} d t

Take the constant out:

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

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

Apply the Power Rule

: - \frac{1}{2 t ^{2}}

= \frac{1}{3} (- \frac{1}{2 t ^{2}})

Simplify

\frac{1}{3} (- \frac{1}{2 t ^{2}}) : - \frac{1}{6 t ^{2}}

= - \frac{1}{6 t ^{2}}

Add a constant to the solution

= - \frac{1}{6 t ^{2}} + C

Graph

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\int \frac{1}{25 x ^{2} + 4} d x

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integral of 1/((2-x^2)^{3/2)}

\int \frac{1}{( 2 - x ^{2} ) ^{\frac{3}{2}}} d x

Frequently Asked Questions (FAQ)

What is the integral of 1/(3t^3) ?
The integral of 1/(3t^3) is -1/(6t^2)+C