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JEE Main20257 Apr 2025Evening ShiftMathematicsIndefinite IntegrationActual

If aligned ( 1 x + 1 x^3 ) & ( [23] 3 x⁻²⁴+x⁻²⁶ ) d x & =- 3( +1) (3 x^ +x^ )^ +1 +C, x 0, aligned ( , , Z) , where C is the constant of integration, then + + is equal to ________ .

Correct answer

0

Step-by-step solution

aligned & ( 1 x ^2 + 1 x ^4 ) ( 3 x + 1 x ^3 )^ 1 23 dx & using t = 3 x + 1 x ^3 dt =-3 ( 1 x ^2 + 1 x ^4 ) dx & t ^ 1 / 23 dt -3 = t ^ 24 / 23 ( 24 23 )(-3) +C & =23 =-1 =-3 & + + =19 aligned

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