What is the integral of sin(10a)bxx ?

The integral of sin(10a)bxx is b/3 x^3sin(10a)+C

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integral of sin(10a)bxx

\int sin (10 a) b xx d x

\frac{b}{3} x^{3} sin (10 a) + C

Solution steps

\int sin (10 a) b xx d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= sin (10 a) b \cdot \int xx d x

Simplify

xx : x^{2}

= sin (10 a) b \cdot \int x^{2} d x

Apply the Power Rule

: \frac{x ^{3}}{3}

= sin (10 a) b \frac{x ^{3}}{3}

Simplify

sin (10 a) b \frac{x ^{3}}{3} : \frac{b}{3} x^{3} sin (10 a)

= \frac{b}{3} x^{3} sin (10 a)

Add a constant to the solution

= \frac{b}{3} x^{3} sin (10 a) + C

f (x) = \frac{6}{5 x + 2}, (- 1, - 2)

\int (\frac{sin ( 4 x )}{4}) - (\frac{sin ^{3} ( x )}{4}) d x

n = 0 \sum \infty n (n + 1) - 1

\int cos (x + π) d x

\frac{e ^{- s}}{s ^{2} ( s + 2 )}

What is the integral of sin(10a)bxx ?
The integral of sin(10a)bxx is b/3 x^3sin(10a)+C