What is the integral of 4x^2-62sqrt(x) ?

The integral of 4x^2-62sqrt(x) is (4x^3)/3-124/3 x^{3/2}+C

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integral of 4x^2-62sqrt(x)

integral

4 x^{2} - 62 x

\frac{4 x ^{3}}{3} - \frac{124}{3} x^{\frac{3}{2}} + C

Solution steps

\int 4 x^{2} - 62 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 4 x^{2} d x - \int 62 x d x

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

\int 62 x d x = \frac{124}{3} x^{\frac{3}{2}}

= \frac{4 x ^{3}}{3} - \frac{124}{3} x^{\frac{3}{2}}

Add a constant to the solution

= \frac{4 x ^{3}}{3} - \frac{124}{3} x^{\frac{3}{2}} + C

(x^{2} + 1)^{0.5}

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

(ln (x))^{3}

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

\frac{ln ( t )}{( t + 1 ) ^{2}}

What is the integral of 4x^2-62sqrt(x) ?
The integral of 4x^2-62sqrt(x) is (4x^3)/3-124/3 x^{3/2}+C