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Popular Calculus >

integral of 1/V

Solution

\int \frac{1}{V} d V

Solution

ln ∣ V ∣ + C

Solution steps

\int \frac{1}{V} d V

Use the common integral:

\int \frac{1}{V} d V = ln (∣ V ∣)

= ln ∣ V ∣

Add a constant to the solution

= ln ∣ V ∣ + C

Graph

Popular Examples

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

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

integral of ln^2(x+1)

\int ln^{2} (x + 1) d x

integral of (4x+4)^2

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

integral of 1/25

\int \frac{1}{25} d x

integral of 4/3 x^{1/3}

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

Frequently Asked Questions (FAQ)

What is the integral of 1/V ?
The integral of 1/V is ln|V|+C