AP EAMCET · Maths · Indefinite Integration
If , then
- A
- B
- C
- D
Answer & Solution
Correct Answer
(D)
Step-by-step Solution
Detailed explanation
Given In=∫0π4tannxdx In+In+2=∫0π4tannxdx+∫0π4tann+2xdx =∫0π4tannxsec2xdx =∫01tndt where tanx=t =tn+1n+101=1n+1 Now, 1I2+14+1I3+I5+1I4+16=3+4+5=12 =1I11+I13
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