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Popular >

integral of 4x^2+5

Solution

integral

4 x^{2} + 5

Solution

\frac{4 x ^{3}}{3} + 5 x + C

Solution steps

\int 4 x^{2} + 5 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 5 d x

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

\int 5 d x = 5 x

= \frac{4 x ^{3}}{3} + 5 x

Add a constant to the solution

= \frac{4 x ^{3}}{3} + 5 x + C

Popular Examples

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\frac{3 x}{( 6 - 3 x ) ^{\frac{1}{2}}}

integral of (2x^2)/5 integral

\frac{2 x ^{2}}{5}

integral of (a+b)^{-2}integral

(a + b)^{- 2}

integral of x/(1-x)integral

\frac{x}{1 - x}

integral of (-x)/((1+x))integral

\frac{- x}{( 1 + x )}

Frequently Asked Questions (FAQ)

What is the integral of 4x^2+5 ?
The integral of 4x^2+5 is (4x^3)/3+5x+C