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Popular >

integral of 9x^2+1

Solution

\int 9 x^{2} + 1 d x

Solution

3 x^{3} + x + C

Solution steps

\int 9 x^{2} + 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 9 x^{2} d x + \int 1 d x

\int 9 x^{2} d x = 3 x^{3}

\int 1 d x = x

= 3 x^{3} + x

Add a constant to the solution

= 3 x^{3} + x + C

Graph

Popular Examples

xy^'+(3x+1)y=e^{(-3x)}

x y^{^{'}} + (3 x + 1) y = e^{(- 3 x)}

derivative of-(11)/(s^5)derivative of

- \frac{11}{s ^{5}}

derivative of f(x)=4x^3 derivative of

f (x) = 4 x^{3}

integral of x*e^{-x/2}

\int x \cdot e^{- \frac{x}{2}} d x

inverse oflaplace ((s+3))/((s+1)^2)inverse laplace

\frac{( s + 3 )}{( s + 1 ) ^{2}}

Frequently Asked Questions (FAQ)

What is the integral of 9x^2+1 ?
The integral of 9x^2+1 is 3x^3+x+C