Special Limits Involving sin(x), x, and tan(x) - Page 3

Questions
  • How do you integrate #sin (ln x)#?
  • Integrate sin9x cos3x dx ?
  • How to solve #lim_(xto0)(ln cotx)^tanx#?
  • If #x^ { 2} \cos x d x = f ( x ) - \int 2x \sin x d x#, what is #f(x)#?
  • Putting x=theta-pi/4 show that limit of (sintheta-costheta)/(theta-pi/4)=sqrt2 as theta approaches to pi/4?
  • What is the limit of #6x^2 (cotx)(csc2x)# as #x->0#?
  • How can i find the value or values of x where the following functions are discontinuous?
  • Is there a way to find the derivative of sin(x) without limits?
  • What is the antiderivative of #tan(x)#?
  • compute the integral: #int cos^2 x dx # ?
  • What is the limit for the following?
  • How do you find the Limit of #(x(cosx-1))/(sinx-x)# as #x# approaches #0#?
  • How to differentiate #y= ln^3(cos^2 √(1-x)#?
  • How do you evaluate: #lim_(x rarr 0) xsin(1/x)#?
  • What's the value of the following limit?
  • What are the derivatives of these two functions? #ln(sinsqrtx)#, #e^(sqrt(1+x^2))#
  • What is the limit as #x# approaches #pi/4# of #(sinx - cosx) / (cos2x)#?
  • What is the limit as #x -> 0# of #((1/(x-1) + 1 )/ x)#?
  • Is #f(x) =sinx-cosx# concave or convex at #x=pi/3#?
  • The function k(x)=tanx is concave in which point?