What is the integral of 3x^2-cos(x)+c ?

The integral of 3x^2-cos(x)+c is x^3-sin(x)+cx+C

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integral of 3x^2-cos(x)+c

\int 3 x^{2} - cos (x) + c d x

x^{3} - sin (x) + c x + C

Solution steps

\int 3 x^{2} - cos (x) + c 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 3 x^{2} d x - \int cos (x) d x + \int c d x

\int 3 x^{2} d x = x^{3}

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

\int c d x = c x

= x^{3} - sin (x) + c x

Add a constant to the solution

= x^{3} - sin (x) + c x + C

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What is the integral of 3x^2-cos(x)+c ?
The integral of 3x^2-cos(x)+c is x^3-sin(x)+cx+C