sentence1: How do I integrate -LSB- math -RSB- \ displaystyle \ int _ -LCB- \ frac \ pi6 -RCB- ^ -LCB- \ frac \ pi4 -RCB- \ sqrt -LCB- 1 - \ cos2x -RCB- \ , dx -LSB- / math -RSB- ?
sentence2: How do you integrate -LSB- math -RSB- \ frac -LCB- 1 -RCB- -LCB- x ^ 2 -1 -RCB- -LSB- / math -RSB- ?