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Popular >

integral of 1-2sin(x)

Solution

\int 1 - 2 sin (x) d x

Solution

x + 2 cos (x) + C

Solution steps

\int 1 - 2 sin (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 1 d x - \int 2 sin (x) d x

\int 1 d x = x

\int 2 sin (x) d x = - 2 cos (x)

= x - (- 2 cos (x))

Simplify

= x + 2 cos (x)

Add a constant to the solution

= x + 2 cos (x) + C

Popular Examples

integral of (1/(2x^3)-1/(x^4))

\int (\frac{1}{2 x ^{3}} - \frac{1}{x ^{4}}) d x

(\partial)/(\partial x)(ln(xy^2))

\frac{\partial}{\partial x} (ln (x y^{2}))

(\partial)/(\partial x)(e^{-x}sin(x^2+xy))

\frac{\partial}{\partial x} (e^{- x} sin (x^{2} + x y))

(\partial)/(\partial u)(u^2-v^2)

\frac{\partial}{\partial u} (u^{2} - v^{2})

integral of csc^2(1/3)x

\int csc^{2} (\frac{1}{3}) x d x

Frequently Asked Questions (FAQ)

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