If \intx[\log(1+x)]^3^3dx=\frac{(1+x)^2}{16}(f(x))+(1+x)(g(x)), then f(x)+g(x)=

Correct Answer is : 6log(1+x)−9(log(1+x))2+7(log(1+x))3+C

\log(1+x)[6+9(\log(1+x))-7(\log(1+x))^2]+C

\log(1+x)x^3+7(\log(1+x))^2+4\log(1+x)+C

12-18\log(1+x)+15(\log(1+x))^2-9(\log(1+x))^3+C

6\log(1+x)-9(\log(1+x))^2+7(\log(1+x))^3+C

TS EAMCET 14-Sep-2020 Shift 1 Solved Paper

Section: Mathematics

Question : 72 of 160

Marks: +1, -0

If ∫x[log(1+x)]33dx=

(1+x)2

(f(x))+(1+x)(g(x)), then f(x)+g(x)=

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