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NDA2023MathematicsDefinite IntegrationActual

Let I= _ -2 ^ 2 ^4 x+ ^4 x 1+3^x d x What is I equal to?

Options

  1. A0
  2. B3 4
  3. C3 2
  4. D3

Correct answer

C. 3 2

Step-by-step solution

Since, I= _ -2 ^ 2 ^4 x+ ^4 x 1+3^x d xI= _ -2 ^ 2 3^x ( ^4 x+ ^4 x ) 1+3^x d x Since, 2 I= _ -2 ^ 2 ( ^4 x+ ^4 x ) d x 2 I= 1 4 (3 x+ 4 x 4 )_ -2 ^ 2 2 I = 1 4 (3 x (4 )) I = 3 2

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