Soal Try-Out SBMPTN yg dilaksanakn oleh ITB dan LBB NF
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![$\begin{align}\text{misal, }a&=\sqrt{\frac{x}{\sqrt{\frac{x}{\sqrt{\frac{x}{...}}}}}} \\ a^2&=\frac{x}{\sqrt{\frac{x}{\sqrt{\frac{x}{\sqrt{...}}}}}} \\ a^2&=\frac{x}{a} \\ a^3&=x \\ a&=x^{\frac{1}{3}} \\ \\ \int\limits^1_0 \sqrt{\frac{x}{\sqrt{\frac{x}{\sqrt{\frac{x}{...}}}}}}\ dx &=\int\limits^1_0 x^{\frac{1}{3}} \ dx \\ &=\frac{3}{4}x^{\frac{4}{3}}\left\right]^1_0 \\ &=\frac{3}{4} \end{align}](https://tex.z-dn.net/?f=%24%5Cbegin%7Balign%7D%5Ctext%7Bmisal%2C+%7Da%26%3D%5Csqrt%7B%5Cfrac%7Bx%7D%7B%5Csqrt%7B%5Cfrac%7Bx%7D%7B%5Csqrt%7B%5Cfrac%7Bx%7D%7B...%7D%7D%7D%7D%7D%7D+%5C%5C+a%5E2%26%3D%5Cfrac%7Bx%7D%7B%5Csqrt%7B%5Cfrac%7Bx%7D%7B%5Csqrt%7B%5Cfrac%7Bx%7D%7B%5Csqrt%7B...%7D%7D%7D%7D%7D%7D+%5C%5C+a%5E2%26%3D%5Cfrac%7Bx%7D%7Ba%7D+%5C%5C+a%5E3%26%3Dx+%5C%5C+a%26%3Dx%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D+%5C%5C+%5C%5C+%5Cint%5Climits%5E1_0+%5Csqrt%7B%5Cfrac%7Bx%7D%7B%5Csqrt%7B%5Cfrac%7Bx%7D%7B%5Csqrt%7B%5Cfrac%7Bx%7D%7B...%7D%7D%7D%7D%7D%7D%5C+dx+%26%3D%5Cint%5Climits%5E1_0+x%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D+%5C+dx+%5C%5C+%26%3D%5Cfrac%7B3%7D%7B4%7Dx%5E%7B%5Cfrac%7B4%7D%7B3%7D%7D%5Cleft%5Cright%5D%5E1_0+%5C%5C+%26%3D%5Cfrac%7B3%7D%7B4%7D+%5Cend%7Balign%7D "$\begin{align}\text{misal, }a&=\sqrt{\frac{x}{\sqrt{\frac{x}{\sqrt{\frac{x}{...}}}}}} \\ a^2&=\frac{x}{\sqrt{\frac{x}{\sqrt{\frac{x}{\sqrt{...}}}}}} \\ a^2&=\frac{x}{a} \\ a^3&=x \\ a&=x^{\frac{1}{3}} \\ \\ \int\limits^1_0 \sqrt{\frac{x}{\sqrt{\frac{x}{\sqrt{\frac{x}{...}}}}}}\ dx &=\int\limits^1_0 x^{\frac{1}{3}} \ dx \\ &=\frac{3}{4}x^{\frac{4}{3}}\left\right]^1_0 \\ &=\frac{3}{4} \end{align}")
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