What is the integral of 4csc(x)cot(x)+2sec^2(x) ?

The integral of 4csc(x)cot(x)+2sec^2(x) is -4csc(x)+2tan(x)+C

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integral of 4csc(x)cot(x)+2sec^2(x)

\int 4 csc (x) cot (x) + 2 sec^{2} (x) d x

- 4 csc (x) + 2 tan (x) + C

Solution steps

\int 4 csc (x) cot (x) + 2 sec^{2} (x) d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int 4 csc (x) cot (x) d x + \int 2 sec^{2} (x) d x

\int 4 csc (x) cot (x) d x = - 4 csc (x)

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

= - 4 csc (x) + 2 tan (x)

Add a constant to the solution

= - 4 csc (x) + 2 tan (x) + C

\frac{\partial}{\partial y} (5 e^{x} ln (y))

\frac{d}{d x} (e^{x} (sin (x) + cos (x)))

x^{3} - 2 x^{2} + 3 x + 5 (2)

\int_{e^{2}}^{e^{5}} (\frac{1}{x}) d x

(2, 5), (0, - 9)

What is the integral of 4csc(x)cot(x)+2sec^2(x) ?
The integral of 4csc(x)cot(x)+2sec^2(x) is -4csc(x)+2tan(x)+C