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Integrals · Question 1

JEE Advanced 2026 Paper 2MCQEasy📈 Topic in 50% papers+4−1
1

The value of the definite integral 02 13x+3 dx is

  1. 12
  2. 13
  3. e 33
  4. e 32

Answer

(2) 13

Solution

Use 0af(x) dx= 0af(a-x) dx with a=2.

f(2-x)= 132-x+3= 3x9+3 3x= 3x3(3x+3).

f(x)+f(2-x)= 3+3x3(3x+3)= 13.

2I= 02 13 dx= 23 I= 13.

Answer: (B)

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