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

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

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

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

sin (x) + C

Solution steps

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

Rewrite using trig identities

= \int cos (x) d x

Use the common integral:

\int cos (x) d x = sin (x)

= sin (x)

Add a constant to the solution

= sin (x) + C

\int \frac{1}{x} - \frac{1}{x + 1} d x

\int \frac{3}{2 3 ( 4 x - 1 ) ^{2}} d x

\int - \frac{4 cos ( x )}{3 - 10 sin ( x )} d x

\int 6 x^{2} - 6 d x

\int (sinh (x) + sinh^{3} (x)) d x

What is the integral of ((1-sin^2(x))/(cos(x))) ?
The integral of ((1-sin^2(x))/(cos(x))) is sin(x)+C