What is the integral of 1/(cos^2(v)) ?

The integral of 1/(cos^2(v)) is tan(v)+C

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integral of 1/(cos^2(v))

\int \frac{1}{cos ^{2} ( v )} d v

tan (v) + C

Solution steps

\int \frac{1}{cos ^{2} ( v )} d v

Use the common integral:

\int \frac{1}{cos ^{2} ( v )} d v = tan (v)

= tan (v)

Add a constant to the solution

= tan (v) + C

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