AP EAMCET · Maths · Indefinite Integration
Assertion (A): if , then Reason (R):
- A A is false, R is false
- B A is true, R is true
- C A is true, R is false
- D A is false, R is true
Answer & Solution
Correct Answer
(C) A is true, R is false
Step-by-step Solution
Detailed explanation
In=∫cotnxdx =∫cotn-2xcot2xdx =∫cotn-2xcosec2xdx-∫cotn-2xdx =I-In-2 Here, I=∫cotn-2xcosec2xdx Let cotx=t; cosec2xdx=-dt i.e. I=-∫tn-2dt=tn-11-n=cotn-1x1-n I.e. In=cotn-1x1-n-In-2 ⇒I6+I4=-cot5x5 Hence, assertion is true but reason is…
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