What is the integral of 15x^2-cos(x)+Cx+C ?

The integral of 15x^2-cos(x)+Cx+C is 5x^3-sin(x)+(Cx^2)/2+Cx+C

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integral of 15x^2-cos(x)+Cx+C

\int 15 x^{2} - cos (x) + C x + C d x

5 x^{3} - sin (x) + \frac{C x ^{2}}{2} + C x + C

Solution steps

\int 15 x^{2} - cos (x) + C 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 15 x^{2} d x - \int cos (x) d x + \int C x d x + \int C d x

\int 15 x^{2} d x = 5 x^{3}

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

\int C x d x = \frac{C x ^{2}}{2}

\int C d x = C x

= 5 x^{3} - sin (x) + \frac{C x ^{2}}{2} + C x

Add a constant to the solution

= 5 x^{3} - sin (x) + \frac{C x ^{2}}{2} + C x + C

f (x) = \frac{( x ^{2} - 4 x )}{x + 1}

x \to 0 + lim (ln (\frac{7}{x ^{5}}))

15 y^{^{''}} + 7 y^{^{'}} - 2 y = 0

\int sin (π x) cos (π x) d x

\frac{d}{d x} (cosh (a x))

What is the integral of 15x^2-cos(x)+Cx+C ?
The integral of 15x^2-cos(x)+Cx+C is 5x^3-sin(x)+(Cx^2)/2+Cx+C