If f(x)+\K is obtained by evaluating \intx^3/{(1+x^2)^3} dx using the substitution x=\tan \theta and g(x)+\C is obtained by evaluating \intx^3/{(1+x^2)^3} dx, using the substitution x^2+1 = \Z, the f(x)-g(x)+\K-\C =

Correct Answer is : any constant

TS EAMCET 5-Aug-2021 Shift 2 Question Paper

Section: Mathematics

Question : 76 of 160

Marks: +1, -0

If f(x)+K is obtained by evaluating ∫

(1+x2)3

dx using the substitution x=tan‌θ and g(x)+C is obtained by evaluating ∫

(1+x2)3

dx, using the substitution x2+1 = Z, the f(x)−g(x)+K−C =

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