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{x ^{3} - 4}{x ^{3}} d x

\int 2 x^{3} e^{x^{4}} d x

cot^{2} (x)

\int (2 x + 1) ln (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