TS EAMCET · Maths · Indefinite Integration
If , then
- A
- B
- C
- D
Answer & Solution
Correct Answer
(D)
Step-by-step Solution
Detailed explanation
∫1+cos8xtan2x-cot2xdx=∫2cos24xsin2xcos2x-cos2xsin2xdx =∫2cos24xsin2xcos2xsin22x-cos22xdx=-∫cos24xsin4xcos4xdx =-12∫2cos4xsin4xdx=-12∫sin8xdx =12cos8x8+c i.e. fx=116, gx=8x Hence, f14+g14=116+2=3316
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