Question

[Phan thu trang]

1)\(\int\sqrt{\frac{1-\sqrt{x}}{1+\sqrt{x}}}dx\)

2)\(\int\frac{dx}{\left(e^x+1\right)\left(x^2+1\right)}\)

3)\(\int\frac{1+2x\sqrt{1-x^2}+2x^2}{1+x+\sqrt{1+x^2}}\)dx

4)\(\int\frac{sin^6x+c\text{os}^6x}{1+6^x}dx\)

5)\(\int_0^{\frac{\pi}{2}}\frac{\sqrt{c\text{os}x}}{\sqrt{s\text{inx}}+\sqrt{c\text{os}x}}dx\)

6)\(\int\frac{x^4}{2^x+1}dx\)

7)\(\int_0^{\frac{\pi^2}{4}}sin\sqrt{x}dx\)

8)\(\int\sqrt[6]{1-c\text{os}^3x}.s\text{inx}.c\text{os}^5xdx\)

9)\(\int\sqrt{\frac{1}{4x}+\frac{\sqrt{x}+e^x}{\sqrt{x}.e^x}}dx\)

10)\(\int\frac{c\text{os}x+s\text{inx}}{\left(e^xs\text{inx}+1\right)s\text{inx}}dx\)

Answer 1

[Phan thu trang]

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