Question

Evaluate the following integral 1/(x^2−k^2) dx, where k is a constant.

text book page 184 to both constants (f) Evaluate the following integral S 22 62 dx, where k is a constant. 25+ annroximate the internal 4 ranezoid Rule

Answer 1

f) Streda al_k? = Loe-k) Læ+k) = * A a-k B. atk. az_ka (a-k) latk) 1 = Ala+k) + Blank) a=k 1= A Lk+K] +B[kk) I=EAKto Asah ask 1= Al-K+k) + BL-K-K) 150-2BK B = 0 dva - 2 + Znak ad id atk Sahne das alte Saxda hal latte da

9K in con in Lak)-ok Inlatk)+c - dtc in (K) – inlatk)] + sa infantil to. se ka dze-ok in tc. atk -da = la-k 1 atk