As per the given question, Hence,
Evaluate the following integrals: $\int{\frac{{{x}^{2}}}{{{x}^{2}}+7x+10}dx}$
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Exercise 19.20
Evaluate the following integrals: $\int{\frac{{{x}^{2}}+1}{{{x}^{2}}-5x+6}dx}$
As per the given question,
Evaluate the following integrals: $\int{\frac{(1-{{x}^{2}})}{x(1-2x)}dx}$
As per the given question,
Evaluate the following integrals: $\int{\frac{{{x}^{2}}+x-1}{{{x}^{2}}+x-6}dx}$
\[\Rightarrow ~1\text{ }=\text{ }\left( A\text{ }+\text{ }B \right)\text{ }x\text{ }+\text{ }\left( 3A\text{ }\text{ }2B \right)\] $⇒$ Then $A\;+\;B\;=\;0\;… (1)$ And $3A\;–\;2B\;=\;1\;… (2)$...
Evaluate the following integrals: $\int{\frac{{{x}^{2}}+x+1}{{{x}^{2}}-x}dx}$
As per the given question,