[(x^(2)+a^(2))(x^(2)+b^(2))],[" ii) "(a)(x)/((x^(2)+a^(2))(x^(2)+b^(2)))]

int(x)/((x^(2)-a^(2))(x^(2)-b^(2)))dx

If (x^(2))/((x^(2)+a^(2))(x^(2)+b^(2)))=K ((a^(2))/(x^(2)+a^(2))-(b^(2))/(x^(2)+b^(2))) then K=

On simplification [((x)^(ab))/((x)^(a^(2)+b^(2)))]^(a+b)*[((x)^(b^(2)+c^(2)))/((x)^(bc))]^(b+c)*[((x)^(ca))/((x)^(c^(2)+a^(2)))]^(c+) reduces to

On simplification [((x)^(ab))/((x)^(a^(2)+b^(2)))]^(a+b)*[((x)^(b^(2)+c^(2)))/((x)^(bc))]^(b+c)*[((x)^(ca))/((x)^(c^(2)+a^(2)))]^(c+) reduces to

If f(x)sin x cos xdx=(1)/(2(b^(2)-a^(2)))ln f(x)+c, then f(x) is equal to (1)/(a^(2)sin^(2)x+b^(2)cos^(2)x)(b)(1)/(a^(2)sin^(2)x-b^(2)cos^(2)x+b^(2)cos^(2)x+b^(2)cos^(2)x)(d)(1)/(a^(2)cos^(2)x-b^(2)cos^(2)x)

If (x+iy)^(1/3)=a+ib,x,y,ab in R. Show that (x)/(a)+(y)/(b)=4(a^(2)-b^(2))( ii) (x)/(a)-(y)/(b)=2(a^(2)+b^(2))

If (1)/((x-a)(x^(2)+b))=(A)/(x-a)+(Bx+C)/(x^(2)+b) then (1)/((x-a)(x^(2)+b)^(2))=