AP EAMCET · Maths · Indefinite Integration
If , and , then
- A
- B
- C
- D
Answer & Solution
Correct Answer
(B)
Step-by-step Solution
Detailed explanation
Reduction formulae for In=∫tannxdx=tann-1xn-1-In-2 i.e. In+In-2=tann-1xn-1 Given I0+I1+2I2+2I3+2I4+I5+I6=∑K=1ntanKxK Now, I0+I1+2I2+2I3+2I4+I5+I6=I2+I0+I3+I1+I4+I2+I5+I3+I6+I4 =tanx1+tan2x2+tan3x3+tan4x4+tan5x5 =∑K=15tanKxK Hence, n=5
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