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Popular >

integral of (4x^2+3)

Solution

\int (4 x^{2} + 3) d x

Solution

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

Solution steps

\int 4 x^{2} + 3 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 3 d x

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

\int 3 d x = 3 x

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

Add a constant to the solution

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

Popular Examples

integral from-2 to 1 of (x^2+4x+8)/(x-2)

\int_{- 2}^{1} \frac{x ^{2} + 4 x + 8}{x - 2} d x

area g(x)=cos(x)+1,f(x)=sin(x)area

g (x) = cos (x) + 1, f (x) = sin (x)

integral from 1 to 9 of sqrt(3-\sqrt{x)}

\int_{1}^{9} 3 - x d x

derivative of f(x)=x^3(x-5)^2 derivative of

f (x) = x^{3} (x - 5)^{2}

limit as x approaches 9-of (|x-9|)/(x-9)

x \to 9 - lim (\frac{∣ x - 9 ∣}{x - 9})

Frequently Asked Questions (FAQ)

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