TS EAMCET · Maths · Indefinite Integration
If and then
- A
- B
- C
- D
Answer & Solution
Correct Answer
(C)
Step-by-step Solution
Detailed explanation
I=∫coslog2x+33-2x3-2x2dx Let log2x+33-2x=t⇒2x+33-2x=et i.e. 3-2x2-2x+3-23-2x2dx=etdt ⇒13-2x2dx=112etdt So, I=124∫etcostdt =et24cost+sint=2x+33-2x24coslog2x+33-2x+sinlog2x+33-2x i.e. gx=log2x+33-2x, fx=2x+33-2x ⇒gx=logfx Hence, g1=logf1
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