Integrate: d (x^2 + 5) / x^2 -10

Answers (1)

Solution:

            I=int fracd(x^2+5)x^2-10 hspace0.5cmLet hspace0.5cmx^2+5=tRightarrow x^2=t-5\ \ Rightarrow hspace1cmI=int frac1t-5-10dt\ \ Rightarrow hspace1cmI=int frac1t-15dt \ \ Rightarrow hspace1cmI=ln left | t-15 
ight |+c=ln left | x^2-10 
ight |+c

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