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Popular >

integral of 24x^2+16x

Solution

\int 24 x^{2} + 16 x d x

Solution

8 x^{3} + 8 x^{2} + C

Solution steps

\int 24 x^{2} + 16 x 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 24 x^{2} d x + \int 16 x d x

\int 24 x^{2} d x = 8 x^{3}

\int 16 x d x = 8 x^{2}

= 8 x^{3} + 8 x^{2}

Add a constant to the solution

= 8 x^{3} + 8 x^{2} + C

Popular Examples

d/(d{x)}(({z})/(({x)^2+{y}^2+{z}^2)^{3/2}})

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

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

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

derivative of 1/(3-2x)derivative of

\frac{1}{3 - 2 x}

integral of 1/((x^2-4)^{1/2)}

\int \frac{1}{( x ^{2} - 4 ) ^{\frac{1}{2}}} d x

(1+e^x)yy^'=e^x,y(0)=1

(1 + e^{x}) y y^{^{'}} = e^{x}, y (0) = 1

Frequently Asked Questions (FAQ)

What is the integral of 24x^2+16x ?
The integral of 24x^2+16x is 8x^3+8x^2+C