What is expand (sec(x)-tan(x))^2dx ?

The solution to expand (sec(x)-tan(x))^2dx is sec^2(x)dx-2sec(x)tan(x)dx+tan^2(x)dx

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expand (sec(x)-tan(x))^2dx

expand

(sec (x) - tan (x))^{2} d x

sec^{2} (x) d x - 2 sec (x) tan (x) d x + tan^{2} (x) d x

Solution steps

(sec (x) - tan (x))^{2} d x

(sec (x) - tan (x))^{2} = sec^{2} (x) - 2 sec (x) tan (x) + tan^{2} (x)

= (sec^{2} (x) + tan^{2} (x) - 2 sec (x) tan (x)) d x

Distribute parentheses

= d x sec^{2} (x) + d x (- 2 sec (x) tan (x)) + d x tan^{2} (x)

Apply minus-plus rules

+ (- a) = - a

= sec^{2} (x) d x - 2 sec (x) tan (x) d x + tan^{2} (x) d x

sin (42 0^{\circ})

- \frac{3}{x ^{2} ( x + 3 ) ( x - 3 )}

\frac{4}{( x + 6 ) ( x + h + 6 )}

\frac{\partial}{\partial x} ((z) (4 x^{2} y + 3 y - 5))

\frac{( - 4 x ^{2} + 7 x + 2 ) ( x + 1 )}{2}

What is expand (sec(x)-tan(x))^2dx ?
The solution to expand (sec(x)-tan(x))^2dx is sec^2(x)dx-2sec(x)tan(x)dx+tan^2(x)dx