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Integrate with respect to x: i) 1/(x^(2...

Integrate with respect to `x`: i) `1/(x^(2)+4)`

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i) `1/2tan^(-1)x2+C` ii) `1/sqrt(5)tan^(-1)x/sqrt(5)+C`, iii) `1/2tan^(-1)(x+1)/(2)+C`, iv) `ln|x^(2)+3x+4|-4/sqrt(7)tan^(-1)(2x+3)/sqrt(7)+C`, v) `x-arctanx+"ln"sqrt(1+x^(2))/(x)+C`, vi) `ln|x+sqrt(x^(2)-4)|+C`, vii) `x/2sqrt(x^(2)+4+2ln|x+sqrt(x^(2)+4)|+C)`
viii) `(x+1)/(2)sqrt(x^(2)+2x+5+2ln|x+1+sqrt(x^(2)+2x+5)|+C` , ix) `-(1-x-x^(2))^(3//2)/(3)-3/8(2x+1)sqrt(1-x-x^(2)) -15/16sin^(-1)(2x+1)/sqrt(5)+C`,
X) `2/15(a^(3)+x^(3))^(5//2)-(2a^(3))/(9)(a^(3)+x^(3))^(3//4)+C`
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