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Popular Calculus >

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

Graph

Popular Examples

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

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

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

derivative of 1/(1+t)

Frequently Asked Questions (FAQ)

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