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Popular >

integral of-1/(t^2)

Solution

\int - \frac{1}{t ^{2}} d t

Solution

\frac{1}{t} + C

Solution steps

\int - \frac{1}{t ^{2}} d t

Take the constant out:

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

= - \int \frac{1}{t ^{2}} d t

Apply the Power Rule

: - \frac{1}{t}

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

Simplify

= \frac{1}{t}

Add a constant to the solution

= \frac{1}{t} + C

Popular Examples

integral of (4x+8)^2

\int (4 x + 8)^{2} d x

integral of 5/(x^2+3)

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

integral of 1/(sqrt(1+4x-x^2))

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

integral of sec(1/2)y

\int sec (\frac{1}{2}) y d y

integral of sqrt((1-x^2)^3)

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

Frequently Asked Questions (FAQ)

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