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

\int \frac{x}{202 1 ^{x}} d x

\frac{d}{d x} (x^{11} h (x))

- \frac{2 x}{( x ^{2} + 4 ) ^{2}}

f (x) = \frac{8}{x}

x \to - π lim ((x + π) cot (x))

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