Question

If $f\,\,\left( {\frac{{3x\,\, - \,\,4}}{{3x\,\, + \,\,4}}} \right) = x\,\, + \,\,2$, then $\smallint \,\,f\left( x \right)\,\,dx$ is

Accepted Answer

$ - \,\,\frac{8}{3}\,\,\log \,\,\left| {\,1\,\, - \,\,x\,} \right|\,\, + \,\,\frac{2}{3}x\,\, + \,\,c$

Answer

${e^{x + 2}}\,\,\log \,\,\left| {\frac{{3x\,\, - \,\,4}}{{3x\,\, + \,\,4}}} \right|\,\, + \,\,c$

Answer

$\frac{8}{3}\,\,\log \,\,\left| {\,1\,\, - \,\,x\,} \right|\,\, + \,\,\frac{x}{3}\,\, + \,\,c$

Answer

${e^{[(3x - 4)/(3x + 4)]}}\,\, - \,\,\frac{{{x^2}}}{2}\,\, - \,\,2x\,\, + \,\,c$

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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