What is the integral of 30x+sin(x)+C ?

The integral of 30x+sin(x)+C is 15x^2-cos(x)+Cx+C

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integral of 30x+sin(x)+C

\int 30 x + sin (x) + C d x

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

Solution steps

\int 30 x + sin (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 30 x d x + \int sin (x) d x + \int C d x

\int 30 x d x = 15 x^{2}

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

\int C d x = C x

= 15 x^{2} - cos (x) + C x

Add a constant to the solution

= 15 x^{2} - cos (x) + C x + C

\int_{- 1}^{0} - x + 2 x^{2} d x

x \to π lim (6 cot (x))

\frac{d ^{2} y}{d x ^{2}} = 1 + \frac{d y}{d x}

x \to 0 lim (\frac{1}{sin ^{2} ( 2 x )})

y^{^{'}} = t y + t

What is the integral of 30x+sin(x)+C ?
The integral of 30x+sin(x)+C is 15x^2-cos(x)+Cx+C