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Popular >

integral of 6x+1

Solution

\int 6 x + 1 d x

Solution

3 x^{2} + x + C

Solution steps

\int 6 x + 1 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 d x + \int 1 d x

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

\int 1 d x = x

= 3 x^{2} + x

Add a constant to the solution

= 3 x^{2} + x + C

Popular Examples

tangent of y=-(x^2)/(40),(-4sqrt(5),-2)tangent of

y = - \frac{x ^{2}}{40}, (- 45, - 2)

derivative of f(x(2x^2-4))

\frac{d}{d x} (f (x) (2 x^{2} - 4))

area 4x,x^3 area

4 x, x^{3}

(\partial)/(\partial x)((x+1)^2)

\frac{\partial}{\partial x} ((x + 1)^{2})

factor 5+5t^2-t-t^3 factor

5 + 5 t^{2} - t - t^{3}

Frequently Asked Questions (FAQ)

What is the integral of 6x+1 ?
The integral of 6x+1 is 3x^2+x+C