" 14."x^(3)e^(mx)

If lim_(x to 0) (1)/(x^(2)) (e^(2mx) = e^(x) - x) = (3)/(2) then the value of m is _____

If lim_(x to 0) (1)/(x^(2)) (e^(2mx) - e^(x) - x) = (3)/(2) then the value of m is _____

14. intx^3.e^(x^2)dx

if y=log(e^(2x)+sqrt(1+e^(4x))) and y_(1)sqrt(1+e^(4x))=me^(mx) then m=

If int(2e^(x) +3e^(-x))/(4e^(x)+7e^(-x))dx=(1)/(14)(ux+v log_(e ) (4e^(x)+7e^(-x)))+C , where C is a constant of integration, then u+v is equal to ________.

If y=ln(e^(mx)+e^(-mx)) , then what is (dy)/(dx) at x = 0 equal to ?

If y=ln(e^(mx)+e^(-mx)) . Then what is the value of (dy)/(dx) at x=0 ?

int(1)/((1+e^(mx))(1+e^(-mx)))dx=

underset(x to 0)"Lt" (e^(mx)-1)/(x)=