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

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

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

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

tan (y) + C

Solution steps

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

Use the common integral:

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

= tan (y)

Add a constant to the solution

= tan (y) + C

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\frac{d}{d x} ((2^{x})^{8})

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