JEE Main20244 Apr 2024Evening ShiftMathematicsDefinite IntegrationActual

If the value of the integral _ -1 ^1 x 1+3^x d x is 2 . Then, a value of is

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Correct answer

D. 2

Step-by-step solution

Let I= _ -1 ⁺¹ x 1+3^x d x ...(I) I= _ -1 ⁺¹ x 1+3^ -x d x (u sing _a^b f(x) d x= _a^b f(a+b-x) d x ) ...(II) Add (1) and (II) aligned & 2 I= _ -1 ⁺¹ ( x) d x=2 ₀^1 ( x) d x & I= = 2 ( given ) & = 2 aligned

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