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

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

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

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

tan (u) + C

Solution steps

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

Use the common integral:

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

= tan (u)

Add a constant to the solution

= tan (u) + C

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