Integrals

JEE Main 2025 (Online) 23rd January Morning ShiftMCQHard📈 Topic in 21% papers+4−1

Ques. 1JEE Main 2025, 23 January (Morning Shift)

Let I(x)= dx(x-11) 1113(x+15) 1513. If I(37)-I(24)= 14 ( 1b 113- 1c 113 ), b,c N, then 3(b+c) is equal to

Answer

(1) 39

Powers add up to 1113+ 1513=2 put t= x-11x+15, dt= 26 dx(x+15)2

I= 126 t-11/13dt= 14t2/13

t(37)= 12, t(24)= 13

I(37)-I(24)= 14 [ 141/13- 191/13 ] =4, c=9

3(b+c)=39

Answer: (1)

Ques. 2JEE Main 2025, 23 January (Evening Shift)

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Ques. 3JEE Main 2025, 23 January (Evening Shift)

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