What is the integral of ((tan(x))/(sin(x)cos(x))) ?

The integral of ((tan(x))/(sin(x)cos(x))) is tan(x)+C

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integral of ((tan(x))/(sin(x)cos(x)))

\int (\frac{tan ( x )}{sin ( x ) cos ( x )}) d x

tan (x) + C

Solution steps

\int \frac{tan ( x )}{sin ( x ) cos ( x )} d x

Simplify

\frac{tan ( x )}{sin ( x ) cos ( x )} : sec^{2} (x)

= \int sec^{2} (x) d x

Use the common integral:

\int sec^{2} (x) d x = tan (x)

= tan (x)

Add a constant to the solution

= tan (x) + C

f (x) \frac{3}{x}

f (x) = 2 x^{2} + 3, x, [- 1, 2]

x \to - 2 lim (x^{2} + x - 2)

f (x) = 2 x^{2} - x + 1, at x = 1

x y^{3} d x + (y + 1) e^{- x} d y = 0

What is the integral of ((tan(x))/(sin(x)cos(x))) ?
The integral of ((tan(x))/(sin(x)cos(x))) is tan(x)+C