What is the integral of 1/(cos^2(8)) ?

The integral of 1/(cos^2(8)) is sec^2(8)s+C

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integral of 1/(cos^2(8))

\int \frac{1}{cos ^{2} ( 8 )} d s

sec^{2} (8) s + C

Solution steps

\int \frac{1}{cos ^{2} ( 8 )} d s

Integral of a constant:

\int a d x = a x

= \frac{1}{cos ^{2} ( 8 )} s

Use the basic trigonometric identity:

\frac{1}{cos ( x )} = sec (x)

= sec^{2} (8) s

Add a constant to the solution

= sec^{2} (8) s + C

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What is the integral of 1/(cos^2(8)) ?
The integral of 1/(cos^2(8)) is sec^2(8)s+C