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

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

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

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

x + C

Solution steps

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

Rewrite using trig identities

= \int 1 d x

Integral of a constant:

\int a d x = a x

= 1 \cdot x

Simplify

= x

Add a constant to the solution

= x + C

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

\int \frac{5}{25 + x ^{2}} d x

\int e^{- 3 x} sin (4 x) d x

x^{\frac{1}{2}}

\int 2 x (10 x + 3) d x

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