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99 Percentile Qs Bank for JEE MainMathematicsIndefinite Integration

3^x d x 9^x-1 is equal to

Options

  1. A1 3 |3^x+ 9^x-1 |+c
  2. B1 3 |3^x- 9^x-1 |+c
  3. C1 9 |3^x+ 9^x-1 |+c
  4. D1 3 |9^x+ 9^x-1 |+c

Correct answer

A. 1 3 |3^x+ 9^x-1 |+c

Step-by-step solution

Let I= 3^x d x 9^x-1 = 3^x 3^ 2 x -1 d x Let 3^x=z 3^x 3 d x=d z I= 1 3 z z^2-1 aligned & = 1 3 z+ z^2-1 +c & = 1 3 [3^x+ 9^x-1 ]+c aligned

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