Fhe +0= (a) O (b) 1 (c) 2 (d) 3
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Fhe +0= (a) O (b) 1 (c) 2 (d) 3

JEE/Engineering Exams
Maths
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( begin{aligned} overline{left(x^{2}+1right)left(x^{2}+4right)} &=frac{1}{3}left(begin{array}{l}3 x^{2} left(x^{2}+1right)left(x^{2}+4right)end{array}right) &=frac{1}{2}left(log ^{2}+4right. &=frac{1}{3}left(frac{4left(x^{2}+1right)-left(x^{2}+4right)}{left(x^{2}+1right)left(x^{2}+4right)}right) &=frac{1}{3}left[frac{4}{x^{2}+4}-frac{1}{x^{2}+1}right] &=frac{4}{3}left(frac{1}{x^{2}+4}right)-frac{1}{3}left(frac{1}{x^{2}+1}right) end{aligned} ) 3y comparing with ( frac{a}{x^{2}+1}+frac{b}{x^{2}+4} ) ( a=frac{-1}{3} ; b=frac{4}{3} ) ( a+b=frac{-1}{3}+frac{4}{3}=frac{3}{3}=1 )
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