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Popular >

integral of 1+3x^2

Solution

\int 1 + 3 x^{2} d x

Solution

x + x^{3} + C

Solution steps

\int 1 + 3 x^{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 1 d x + \int 3 x^{2} d x

\int 1 d x = x

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

= x + x^{3}

Add a constant to the solution

= x + x^{3} + C

Popular Examples

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x \to 0 lim (\frac{e ^{x} + e ^{- x} - 2}{x sin ( x )})

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\int \frac{1}{x ^{2} + 8 x + 65} d x

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\int e^{11 x} d x

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\int (cos (x)) d x

limit as x approaches 1/4 of sin(pi/x)

x \to \frac{1}{4} lim (sin (\frac{π}{x}))

Frequently Asked Questions (FAQ)

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