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Popular >

integral of 12x+5

Solution

\int 12 x + 5 d x

Solution

6 x^{2} + 5 x + C

Solution steps

\int 12 x + 5 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 12 x d x + \int 5 d x

\int 12 x d x = 6 x^{2}

\int 5 d x = 5 x

= 6 x^{2} + 5 x

Add a constant to the solution

= 6 x^{2} + 5 x + C

Popular Examples

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\frac{\partial}{\partial x} (cos (4 y^{2} - 2 x))

derivative of sin(x^{tan(x}))

\frac{d}{d x} (sin (x^{t a n (x)}))

(2x+1)y^'+2y=4x,y(0)=1

(2 x + 1) y^{^{'}} + 2 y = 4 x, y (0) = 1

(\partial)/(\partial z)(ln(x^2+y^4)-z)

\frac{\partial}{\partial z} (ln (x^{2} + y^{4}) - z)

25y^{''}-y=xe^{x/5},y(0)=1,y^'(0)=0

25 y^{^{''}} - y = x e^{\frac{x}{5}}, y (0) = 1, y^{^{'}} (0) = 0

Frequently Asked Questions (FAQ)

What is the integral of 12x+5 ?
The integral of 12x+5 is 6x^2+5x+C