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Popular >

integral of 4x^2+9

Solution

\int 4 x^{2} + 9 d x

Solution

\frac{4 x ^{3}}{3} + 9 x + C

Solution steps

\int 4 x^{2} + 9 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^{2} d x + \int 9 d x

\int 4 x^{2} d x = \frac{4 x ^{3}}{3}

\int 9 d x = 9 x

= \frac{4 x ^{3}}{3} + 9 x

Add a constant to the solution

= \frac{4 x ^{3}}{3} + 9 x + C

Popular Examples

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\int 2 (1 - \frac{1}{x ^{2}}) d x

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\int (e^{x} - 1 5^{x}) d x

(\partial)/(\partial x)(x^3+x^2y)

\frac{\partial}{\partial x} (x^{3} + x^{2} y)

integral of (cos(3x))/(1+sin^2(3x))

\int \frac{cos ( 3 x )}{1 + sin ^{2} ( 3 x )} d x

limit as x approaches 0 of tan(2x)

x \to 0 lim (tan (2 x))

Frequently Asked Questions (FAQ)

What is the integral of 4x^2+9 ?
The integral of 4x^2+9 is (4x^3)/3+9x+C