\\int\\sqrt{e^{4 x}+e^{2 x}} d x=

Correct Answer is : 12ex(√e2x+1)+12sinh−1(ex)+c

\frac{1}{2} e^{x}(\\sqrt{e^{2 x}+1})+\frac{1}{2} \sinh ^{-1}(e^{x})+c

\frac{1}{2} e^{x}(\\sqrt{e^{2 x}+1})+ \sinh ^{-1}(e^{x})+c

\frac{1}{2} (\\sqrt{e^{2 x}+1})+\frac{1}{2} \sinh ^{-1}(e^{x})+c

\\sqrt{e^{4 x}+e^{2 x}}+\\sqrt{e^{2 x}+1}+c

AP EAPCET 19-Aug-2021 Shift 2 Paper

Section: Mathematics

Question : 76 of 160

Marks: +1, -0

∫√e4x+e2xdx=

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