TS EAMCET · Maths · Indefinite Integration
- A
- B
- C
- D
Answer & Solution
Correct Answer
(B)
Step-by-step Solution
Detailed explanation
Let I=∫(x+2)x+3dx Let x+3 =t Differentiating both sides, 12x+3dx=dt ⇒dx=2x+3 dt Using in the function to be integrated, I=∫(x+2)x+32x+3dt =2∫(x+2)(x+3)dt =2∫t2-1t2dt =2∫t4-t2dt =2t55-t33 + C =215tt23t2-5 +C…
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