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Integrate the Rational Functions `((X^2 +1)(X^2 + 2))/((X^2 + 3)(X^2+ 4))` - Mathematics

Integrate the rational functions `((x^2 +1)(x^2 + 2))/((x^2 + 3)(x^2+ 4))`

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Solution

Equating the coefficients of x3x2x, and constant term, we obtain

A + C = 0

B + D = 4

4A + 3C = 0

4B + 3D = 10

On solving these equations, we obtain

A = 0, B = −2, C = 0, and D = 6

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APPEARS IN

NCERT Class 12 Maths
Chapter 7 Integrals
Q 18 | Page 323
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