AP EAMCET · Maths · Indefinite Integration
If , then
- A
- B
- C
- D
Answer & Solution
Correct Answer
(A)
Step-by-step Solution
Detailed explanation
Given, ∫(2x+1)6(3x+2)8dx=P2x+13x+2Q+R Put t=2x+13x+2 ⇒dtdx=3x+22-2x+133x+22 ⇒dt=dx3x+22 ∴∫(2x+1)6(3x+2)8dx=∫t6dt ∫t6dt=t77+C=172x+13x+27+C ⇒P=17, Q=7 & R=C ∴PQ=177=172
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