AP EAMCET · Maths · Indefinite Integration
If , then
- A
- B
- C
- D
Answer & Solution
Correct Answer
(B)
Step-by-step Solution
Detailed explanation
I=∫exxx+xdx Let x=t 12xdx=dt i.e. I=2∫ett2+tdt =2∫t2etdt+2∫tetdt =2t2et-2∫2tetdt+2∫tetdt =2t2et-2∫tetdt =2t2et-2tet-∫etdt=2t2et-2tet+2et+C' =ex2x-2x+2+C' Hence, A+B+C=2
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