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

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

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integral of 1/(cos^2(θ))

\int \frac{1}{cos ^{2} ( θ )} d θ

tan (θ) + C

Solution steps

\int \frac{1}{cos ^{2} ( θ )} d θ

Use the common integral:

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

= tan (θ)

Add a constant to the solution

= tan (θ) + C