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  • Mechanical Engg. Set 1 (GATE) 2014
  • The value of the integral $\int\limits_0^2$$\frac{(x-1)^2...
Multiple choice

The value of the integral $\int\limits_0^2$$\frac{(x-1)^2 sin (x-1)}{(x-1)^2 + cos(x-1)}dx$ is

  1. 3

  2. 0

  3. – 1

  4. – 2

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Correct options is (2).

$\int\limits_{-a}^a F(x) = 0 \\ F(x) = \int\limits_0^2\frac{(x-1)^2 sin (x-1)}{(x-1)^2 + cos(x-1)}dx=0$

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