Answers edited by Guillaume L.

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• What is the limit of #x^2sin(1/x)# as x approaches infinity?
  
• How do you find #lim_(t to oo)sqrt(t^2+2)/(4t+2)#?
  
• Not sure how to solve this doubling time problem?
  
• Solve the equation #3sin^2x+cos^2x-1=0# for #x in [0, 2pi]# ?
  
• How do you simplify #cos(arctan(x)) #?
  
• How do you simplify #(x-2)/(x^2+3x-10)#?
  
• How do you simplify # ((3x)/y -x/1) / ((2y)/1 - y/x)#?
  
• How do you solve #2sin^2x-sinx=1#?
  
• How do you simplify #(x^2+3x+2)/(x^2-1)#?
  
• Who's interested in a new Socratic on a different website?
  
• How do you integrate #f(x)=intsin(e^t)dt# between 4 to #x^2#?
  
• Find the #lim_(x rarr oo) sinx/x# help me?
  
• What is the quotient rule?
  
• How do you simplify #(2z^2 - 11z + 15)/(z^2 - 9)#?
  
• How to integrate #int (secx)dx# and #int (cscx)dx# ?
  
• How many 5-digit numbers can be formed using (0-9)?
  
• #int x/(1+x)(1+x^2)dx# ?
  
• How do you solve #\frac { 1} { 4} ( 5x - 27) \leq \frac { x + 10} { 3} < 10#?
  
• What is #int sec(x)^3tan(x)dx# ?
  
• How do you solve #(3x - 7) - 5( x - 4) = 21#?
  
• How do you simplify #(x^2 +3x)/(2x-14)*(x^2 -49)/(x^2 – 2x -15)##?
  
• What is the domain and range of #y= sqrt (x^2 + 1)#?
  
• What is the standard form of # y= (x-5)(x-2)+(3x-1)^2#?
  
• How do you simplify # 7div(sqrt6 – 5)#?
  
• How do you evaluate #int e^(6x)sin(e^(2x))dx# using substitution and and tabular integration?
  
• What is #int tan^2(x) * sec^3(x) dx #?
  
• What is the derivative of the following function? g(x)=sqrt(x^(sin(x)))
  
• How do you find the integration of #log x#?
  
• Is x=y^2-3 a function ?
  
• How do I factor a^3 + 216 ?
  
• Find the #lim_(x rarr oo) sinx/x# help me?
  
• How do you solve y = 2x and 3x - 2y = -2?
  
• How do you write the partial fraction decomposition of the rational expression #(6x^2+8x+30)/(x^3-27)#?
  
• How do you factor #3b^2 + 4b - 4#?
  
• What is #int (ln(3x-1))^-2dx#?
  
• If x=2-√3,then What is the value of x cube - 1/x cube?
  
• How do you simplify #7sqrt(3x)-sqrt(12x)#?
  
• How to find out the derivative of (ln2)^x ?
  
• What is the antiderivative of #(1+sinx)/(1-sinx)#?
  
• An interesting problem...?
  
• How do you integrate #int 1/sqrt(3x-12sqrtx+53) # using trigonometric substitution?
  
• How do you simplify #sqrt56#?
  
• How we can evaluate this : ∑2ⁿ from k=1 to n , as n→-∞ ?
  
• How do you integrate #int (e^x-1)/sqrt(e^(2x) -16)dx# using trigonometric substitution?
  
• Help with this limit...?
  
• What is the integral of #int x/ cos^2(x)dx#?
  
• How do you factor #(x - 2y)^2 - 3x(x - 2y)#?
  
• How do you differentiate #f(x)= (x^2-x+2)/ (x- 1 )# using the quotient rule?
  
• How do you find the discriminant and how many solutions does #x^2-4x+10=0# have?
  
• How do you solve #4 2/3b+ 4/5= 2 1/7b-1/5b-1/3 #?