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Most Important Selected Qs for JEE AdvancedMathematicsIndefinite Integration

If cosec ^2 x-2019 ( x)²⁰¹⁹ d x= -f(x) (g(x))²⁰¹⁹ +C , then find the value of |f ( 4 )+g(0) | . (where C is constant of integration.)

Correct answer

2

Step-by-step solution

aligned & ( 1 ( x)²⁰¹⁹ ) _ I cosec ^2 x _ II d x-2019 d x ( x)²⁰¹⁹ & 1 ( x)²⁰¹⁹ (- x)+2019 x ( x)²⁰²⁰ x d x . & f(x)= x ; g(x)= x & |f ( 4 )+g(0) |=2 aligned

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