If a, b, c, d \neq 0 and f(\frac{a t+b}{c t+d})=t, then \int f(x) d x=

Correct Answer is : −dcx+bc−adc2log(cx−a)+K

\frac{-d}{c} x+\frac{b c-a d}{c^{2}} \log (c x-a)+K

\frac{-d}{c} x+\frac{b c-a d}{c^{2}} \log (c x+d)+K

\frac{a}{c} x+\frac{a d-b c}{c^{2}} \log (c x+a)+K

\frac{a}{c} x-\frac{a d-b c}{c} \log (c x+a)+K

AP EAPCET 05-Jul-2022 Shift 2 Paper

Section: Mathematics

Question : 73 of 160

Marks: +1, -0

If a,b,c,d≠0 and f(‌

at+b

ct+d

)=t, then ∫f(x)dx=

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