`int x^(-15) dx=(x^(-15+1))/(-15+1)+c=(x^(-14))/(-14)+c=-1/14 x^(-14)+c`.

int(x^(11)+x^(12)+x^(13))/(x^(14)+x^(15))dx=

Value of integral int_(0)^( pi/2)sin^(3)x(1-cos x)^(11)dx(i)-(15)/(13)(ii)-(15)/(14)(iii)-(15)/(272)(iv)-(15)/(182)

Solve sin^(-1)((14)/(|x|))+sin^(-1)((2sqrt(15))/(|x|))=pi/2

The maximum value of x that satisfies the equation sin^(-1)((2sqrt(15))/(|x|))=cos^(-1)((14)/(|x|)) is

The maximum value of x that satisfies the equation sin^(-1)((2sqrt(15))/(|x|))=cos^(-1)((14)/(|x|)) is

(-12) + (15 + 14) = (-12 + 15) + 14 is ….. property

Solve sin^(-1). (14)/(|x|) + sin^(-1).(2 sqrt15)/(|x|) = (pi)/(2)

Solve sin^(-1). (14)/(|x|) + sin^(-1).(2 sqrt15)/(|x|) = (pi)/(2)

If tan^(-1)3+tan^(-1)x=tan^(-1)8 , then x= (a) 5 (b) 1//5 (c) 5//14 (d) 14//5