Question

x ! LTE 10:48 Quurlions < 0:1 pt 05 Detal Evaluate the integral: - 110 der T- () which trig substitution is correct for this integral? 1 - Ssin 1 - 100.06) 10 sec (0) 100 Lan!) 10ginio 1 - lüli (B1 Which integral du you oblain aller subsliluling on and implilyiny? Nolu: lo unler B, type the word 'hela. - (C? What is the value of the above integral in terms of in C () what is the value of the original integralin terms of x? +C Question Help D Post to forum Subinil Qulion

Answer 1

8 x2 - 100 dx let x = 10500 o x 4 dx = 10 seedtano do oo 100 see 0-100 10. selo tam o do (1014, secto 8. 105 see20 - 1 . 10 seeo tano do 104 secto ſ tanzo tanto = seeko-1 E co tano do 102 Seeso tanto 8 102 do Seaso

8 Sinto Ir Cosso do 102 60520 daro = sino Coro and seco Coro & 102 sino caso do sino = t Coro do dt 8 102 t2 dt = 8 + С lol 11 b sino &c 300 x = lo seed 11 1/10 =) Coro= 10 Coro Х Sino = Ji-co;40 100 x²-100 x2 Х the integral f x²-100 tar 3 DO of c b 300 (x²100)/ + C Х 23