AP EAMCET · Maths · Indefinite Integration
\(\int x^2 \sin x \cos x d x=\)
- A \(-\frac{x^2 \cos 2 x}{2}+\frac{x \sin 2 x}{4}+\frac{\cos 2 x}{8}+c\)
- B \(\frac{(1-2 x)^2}{2} \cos 2 x+x \sin 2 x+c\)
- C \(\frac{\left(1-2 x^2\right)}{8} \cos 2 x+\frac{x}{4} \sin 2 x+c\)
- D \(\frac{\left(1-2 x^2\right)^2}{4} \cos 2 x+\frac{x}{2} \sin 2 x+c\)
Answer & Solution
Correct Answer
(C) \(\frac{\left(1-2 x^2\right)}{8} \cos 2 x+\frac{x}{4} \sin 2 x+c\)
Step-by-step Solution
Detailed explanation
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