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Popular >

integral of 6x^2+3

Solution

\int 6 x^{2} + 3 d x

Solution

2 x^{3} + 3 x + C

Solution steps

\int 6 x^{2} + 3 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 6 x^{2} d x + \int 3 d x

\int 6 x^{2} d x = 2 x^{3}

\int 3 d x = 3 x

= 2 x^{3} + 3 x

Add a constant to the solution

= 2 x^{3} + 3 x + C

Popular Examples

(\partial)/(\partial x)(6x+y)

\frac{\partial}{\partial x} (6 x + y)

integral of x^2+1

\int x^{2} + 1 d x

derivative of (6x+4x^2/((3+4x)^2))

\frac{d}{d x} (\frac{6 x + 4 x ^{2}}{( 3 + 4 x ) ^{2}})

y^{^{'}} + 5 e^{x + y} = 0

derivative of f(x)=(sqrt(x))/(4+x)derivative of

f (x) = \frac{x}{4 + x}

Frequently Asked Questions (FAQ)

What is the integral of 6x^2+3 ?
The integral of 6x^2+3 is 2x^3+3x+C