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

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

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

integral

\frac{1}{cos ^{2} ( x )}

tan (x) + C

Solution steps

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

Use the common integral:

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

= tan (x)

Add a constant to the solution

= tan (x) + C

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