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MHT CET202210 Aug 2022Morning ShiftMathematicsIndefinite IntegrationActual

2 x 4 ^2 x+9 ^2 x ~d x= (Where C is a constant of integration).

Options

  1. A- (4 ^2 x+9 ^2 x )+C
  2. B1 5 (4 ^2 x+9 ^2 x )+C
  3. C- 1 5 (4 ^2 x+9 ^2 x )+C
  4. D(4 ^2 x+9 ^2 x )+C

Correct answer

C. - 1 5 (4 ^2 x+9 ^2 x )+C

Step-by-step solution

Let 4 ^2 x+9 ^2 x=t aligned & (4 2 x x-9 2 x x) d x= d t & -5 2 x ~d x= d t & - 1 5 d t t =- |t|+c & =- 1 5 |4 ^2 x+9 ^2 x |+c aligned

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