AP EAMCET · Maths · Indefinite Integration
- A
- B
- C
- D
Answer & Solution
Correct Answer
(C)
Step-by-step Solution
Detailed explanation
Let, I=∫cos3x+cos5xsin2x+sin4xdx =∫cos3x1+cos2xsin2x1+sin2xdx =∫cos2x1+cos2xsin2x1+sin2xcosxdx =∫1-sin2x1+1-sin2xsin2x1+sin2xcosxdx =∫1-sin2x2-sin2xsin2x1+sin2xcosxdx Let sinx=t⇒cosxdx=dt I=∫1-t22-t2t21+t2dt =∫t4-3t2+2t21+t2dt…
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