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Popular >

integral of-cos(x)+2

Solution

\int - cos (x) + 2 d x

Solution

- sin (x) + 2 x + C

Solution steps

\int - cos (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 cos (x) d x + \int 2 d x

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

\int 2 d x = 2 x

= - sin (x) + 2 x

Add a constant to the solution

= - sin (x) + 2 x + C

Popular Examples

integral of 1/(4+cos(x))

\int \frac{1}{4 + cos ( x )} d x

integral of ln|x^2+1|

\int ln x^{2} + 1 d x

integral of (arccot(3x))/(1+9x^2)

\int \frac{arccot ( 3 x )}{1 + 9 x ^{2}} d x

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

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

integral of x^2sec^2(x^3+3)tan^3(x^3+3)

\int x^{2} sec^{2} (x^{3} + 3) tan^{3} (x^{3} + 3) d x

Frequently Asked Questions (FAQ)

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