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Popular >

integral of tan(x)-2

Solution

\int tan (x) - 2 d x

Solution

- ln ∣ cos (x) ∣ - 2 x + C

Solution steps

\int tan (x) - 2 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 tan (x) d x - \int 2 d x

\int tan (x) d x = - ln ∣ cos (x) ∣

\int 2 d x = 2 x

= - ln ∣ cos (x) ∣ - 2 x

Add a constant to the solution

= - ln ∣ cos (x) ∣ - 2 x + C

Popular Examples

integral of (x+3)csc^2(x^2+6x-4)

\int (x + 3) csc^{2} (x^{2} + 6 x - 4) d x

integral of (sqrt(4x^2+1))/(x^4)

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

integral of xcos(5pix^2)

\int x cos (5 π x^{2}) d x

integral of ze^x

\int z e^{x} d x

integral of [x*e^{-x}]

\int [x \cdot e^{- x}] d x

Frequently Asked Questions (FAQ)

What is the integral of tan(x)-2 ?
The integral of tan(x)-2 is -ln|cos(x)|-2x+C