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TS EAMCET · Maths · Indefinite Integration

If 2x12+5x9x5+x3+13dx=12fx+C, then f(1)-f(0)=

  1. A 12
  2. B 19
  3. C 127
  4. D 154
Verified Solution

Answer & Solution

Correct Answer

(B) 19

Step-by-step Solution

Detailed explanation

I=∫2x12+5x9x5+x3+13dx=12fx+c ⇒I=∫2x-3+5x-61+x-2+x-53dx Put 1+x-2+x-5=t ⇒-2x-3-5x-6dx=dt ⇒I=-∫dtt3=12t2+C So, fx=11+x-2+x-52=x10x5+x3+12 f1-f0=19-0=19
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