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Let ∫ > = ). 1 n ( , dx x tan I n n If I 4 + I 6 = a tan 5 x + bx 5 + C, where C is a constant of integration, then the ordered pair (a, b) is equal to :

1. ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ 0 , 5 1
2. ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ − 1 , 5 1
3. ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ − 0 , 5 1
4. ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ − 1 , 5 1 Students may find similar question in CP exercise sheet : [ JEE Main, Chapter : Indefinite Integration, Page 33, Ex. 3, Q. No. 2 ] [ JEE Advance, Chapter : Indefinite Integration, Page 35, Ex. 4, Q. No. 1 ]

Correct answer: ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ 0 , 5 1

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