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Popular >

integral of 2x^2+2

Solution

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

Solution

\frac{2 x ^{3}}{3} + 2 x + C

Solution steps

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

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

\int 2 d x = 2 x

= \frac{2 x ^{3}}{3} + 2 x

Add a constant to the solution

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

Graph

Popular Examples

integral of csc^7(x)

\int csc^{7} (x) d x

integral of (3/2)^2

\int (\frac{3}{2})^{2} d x

tangent of f(x)=x^4-18x^2+81,\at x=-2 tangent of

f (x) = x^{4} - 18 x^{2} + 81, at x = - 2

derivative of arcsin(6x^4)derivative of

arcsin (6 x^{4})

limit as x approaches infinity of 3/x+5x

x \to \infty lim (\frac{3}{x} + 5 x)

Frequently Asked Questions (FAQ)

What is the integral of 2x^2+2 ?
The integral of 2x^2+2 is (2x^3)/3+2x+C