If ∫ x ( x 2 + 1 ) 2 x 4 + 1 dx = A ln ∣ x ∣ + 1 + x 2 B + c , where c is the constant of integration then A + B is :

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MathematicsIndefinite IntegrationManipulating IntegrandsMedium2 minQB

MathematicsMediuminteger

If $\int \frac{x ^{4} + 1}{x ( x ^{2} + 1 ) ^{2}} dx = A ln ∣ x ∣ + \frac{B}{1 + x ^{2}} + c$ , where c is the constant of integration then $A + B$ is :

Answer:

Solution:

Add and subtract $2 x^{2}$ in the numerator]

Stream:JEESubject:MathematicsTopic:Indefinite IntegrationSubtopic:Manipulating Integrands

⏱ 2mℹ️ Source: QB

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