TS EAMCET · Maths · Indefinite Integration
is valid when lies in the interval
- A
- B
- C
- D
Answer & Solution
Correct Answer
(C)
Step-by-step Solution
Detailed explanation
Given, ∫sinxcosx dx=23sin x32+C Let y=∫sinxcosx dx Let, sinx=t Differentiating with respect to x, we get cosxdx=dt ∴y=∫t dt ⇒y=23t32+C ⇒y=23sinx32+C But this is valid only when sinx is defined. ∴sinx>0…
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