The value of ∫−4−5 e(x+5)2dx+3∫1/32/3 e9(x−2/3)2dx , is

The value of 45e(x+5)2dx+31/32/3e9(x2/3)2dx , is

  1. A

    1

  2. B

    0

  3. C

    -1

  4. D

    none of these

    Register to Get Free Mock Test and Study Material

    +91

    Verify OTP Code (required)

    I agree to the terms and conditions and privacy policy.

    Solution:

    Let I1=45e(x+5)2dx and I2=1/32/3e9(x2/3)2dx

    Using Property X, we have

    I1=45e(x+5)2dx I1=(5+4)01e1(5+4)x4+5γ2dx I1=01e(x+1)2dx=01e(x1)2dx and, I2=1/32/3e9(x2/3)2dx

     I2    =231301e9{(2/31/3)x+1/32/3}2dx I2    =1301e9(x/31/3)2dx=1301e(x1)2dx I    =I1+3I2=01e(x1)2dx+01e(x1)2dx=0

    Chat on WhatsApp Call Infinity Learn

      Register to Get Free Mock Test and Study Material

      +91

      Verify OTP Code (required)

      I agree to the terms and conditions and privacy policy.