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Popular >

integral of 4x^3+1

Solution

\int 4 x^{3} + 1 d x

Solution

x^{4} + x + C

Solution steps

\int 4 x^{3} + 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 4 x^{3} d x + \int 1 d x

\int 4 x^{3} d x = x^{4}

\int 1 d x = x

= x^{4} + x

Add a constant to the solution

= x^{4} + x + C

Popular Examples

tangent of f(x)=x^3-9x(3)tangent of

f (x) = x^{3} - 9 x (3)

tangent of f(x)=tan^2(x),\at x=(-pi)/4 tangent of

f (x) = tan^{2} (x), at x = \frac{- π}{4}

(\partial)/(\partial x)((2x-5y)^2)

\frac{\partial}{\partial x} ((2 x - 5 y)^{2})

integral of y^3+10xy^4-2x

\int y^{3} + 10 x y^{4} - 2 x d x

limit as x approaches-4-of (x+3)/(x+4)

x \to - 4 - lim (\frac{x + 3}{x + 4})

Frequently Asked Questions (FAQ)

What is the integral of 4x^3+1 ?
The integral of 4x^3+1 is x^4+x+C