Find an antiderivative of $(x+\sqrt{\sin (3 x+9)})(x-\sqrt{\sin (3 x+9)})$ .
A) $\frac{x^{3}}{3}+\frac{1}{3} \cos (3 x+9)+C$
B) $\frac{x^{3}}{3}-\frac{1}{3} \cos (3 x+9)+C$
C) $\frac{x^{3}}{3}+\frac{1}{3 x+9} \cos (3 x+9)+C$
D) $\frac{x^{3}}{3}-\frac{1}{3 x+9} \cos (3 x+9)+C$

Question

Quizplus · Accepted Answer

The expression simplifies to $x^2 - \sin(3x+9)$, and its antiderivative is $\frac{x^3}{3} + \frac{1}{3}\cos(3x+9) + C$.

Find an Antiderivative Of (x+sin⁡(3x+9))(x−sin⁡(3x+9))(x+\sqrt{\sin (3 x+9)})(x-\sqrt{\sin (3 x+9)})(x+sin(3x+9)​)(x−sin(3x+9)​) A) x33+13cos⁡(3x+9)+C\frac{x^{3}}{3}+\frac{1}{3} \cos (3 x+9)+C3x3​+31​cos(3x+9)+C

Find an Antiderivative Of $(x+\sqrt{\sin (3 x+9)})(x-\sqrt{\sin (3 x+9)})$
A) $\frac{x^{3}}{3}+\frac{1}{3} \cos (3 x+9)+C$