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Popular >

integral of 1/(2t^2)

Solution

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

Solution

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

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule

: - \frac{1}{t}

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

Simplify

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

= - \frac{1}{2 t}

Add a constant to the solution

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

Graph

Popular Examples

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\int (\frac{arctan ( 3 x )}{1 + 9 x ^{2}}) d x

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\int 9 x x^{2} + 1 d x

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\int x (5 x^{2} + 8)^{4} d x

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\int \frac{3}{x} + e^{2 x} - 7^{x} d x

integral of (x^3-x^2-x-3)/(x^4-1)

\int \frac{x ^{3} - x ^{2} - x - 3}{x ^{4} - 1} d x

Frequently Asked Questions (FAQ)

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