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Popular >

integral of 3/(t^3)

Solution

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

Solution

- \frac{3}{2 t ^{2}} + C

Solution steps

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

Apply the Power Rule

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

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

Simplify

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

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

Add a constant to the solution

= - \frac{3}{2 t ^{2}} + C

Popular Examples

integral of (3x^5-5x^2-3x)

\int (3 x^{5} - 5 x^{2} - 3 x) d x

integral of \sqrt[n]{x}

integral of 9x^8e^{7x^9}

\int 9 x^{8} e^{7 x^{9}} d x

integral of (x^5)/(20)

\int \frac{x ^{5}}{20} d x

integral of 6xsqrt(x+1)

\int 6 x x + 1 d x

Frequently Asked Questions (FAQ)

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