What is the value of -LSB- math -RSB- \ displaystyle \ int _ -LCB- 0 -RCB- ^ -LCB- \ infty -RCB- \ dfrac -LCB- x -RCB- -LCB- x ^ 2 + a ^ 2 -RCB- \ , dx -LSB- / math -RSB- ?
What is the value of -LSB- math -RSB- \ displaystyle \ int _ -LCB- -1 -RCB- ^ 1 \ frac -LCB- \ sqrt -LCB- 1-x ^ 2 -RCB- -RCB- -LCB- a-x -RCB- \ , dx -LSB- / math -RSB- where -LSB- math -RSB- a > 1 -LSB- / math -RSB- ?