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Popular >

integral of-1/(t^3)

Solution

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

Solution

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

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule

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

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

Simplify

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

Add a constant to the solution

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

Popular Examples

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

\int x^{3} - x^{2} d x

integral of (1/(x^2+5x+3))

\int (\frac{1}{x ^{2} + 5 x + 3}) d x

integral of (ln(sqrt(x)))/(x^2)

\int \frac{ln ( x )}{x ^{2}} d x

integral of (2x)/(3x-2)

\int \frac{2 x}{3 x - 2} d x

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

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

Frequently Asked Questions (FAQ)

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