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Popular >

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^2+3)^3)

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

integral of (sin(29x))/(1+cos^2(29x))

\int \frac{sin ( 29 x )}{1 + cos ^{2} ( 29 x )} d x

integral of (7-1/(x^4))sqrt(\sqrt{x)}

\int (7 - \frac{1}{x ^{4}}) x d x

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

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

integral of xsqrt(x^4-6x^2+34)

\int x x^{4} - 6 x^{2} + 34 d x

Frequently Asked Questions (FAQ)

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