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The value of the integral
2∫0 (x - 1)² sin(x - 1) dx is (x - 1)² + cos(x - 1)
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- 3
- 0
- –1
- –2
Correct Option: B
| Let I = | dx | |
| (x - 1)² + cos(x - 1)² |
| We know that, ²∫0 | dx | |
| (2 - x - 1)² + cos(2 - x - 1)² |
| = - ²∫0 | dx = - 1 | |
| (x - 1)² + cos(x - 1)² |
⇒ I + I = 0
⇒ 2I = 0
⇒ I = 0