Answers created by Guillaume L.

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• What is #f(x) = int x-x^2secx dx# if #f(pi/4)=3 #?
  
• How do you use polynomial synthetic division to divide #(x^4-6x^2+9)div(x-sqrt3)# and write the polynomial in the form #p(x)=d(x)q(x)+r(x)#?
  
• How do you divide #(x^3-8x+3)div(x+3)# using synthetic division?
  
• How do you divide #(x^3+15x^2+45x-25)div(x+5)# using synthetic division?
  
• How do you rewrite #f(x)=x^2+12x+20# in vertex form?
  
• What is the antiderivative of #(1+sinx)/(1-sinx)#?
  
• What is the integral of #arctan(x)#?
  
• How do you integrate #int ( x^2 / sqrt(4 - x^2) ) dx#?
  
• How do you find the integral of #tanh^3x dx#?
  
• What is #f(x) = int xe^(2-x) -2 x^2 +2 dx# if #f(0 ) = 2 #?
  
• How do you integrate #f(x)=(x^2+x)/((x^2-1)(x+3)(x-9))# using partial fractions?
  
• How to solve the following question without using the l'hospital rule?
  
• What is the antiderivative of #m(x) = (-2/y^3)#?
  
• An interesting problem...?
  
• How do I evaluate the integral #intsqrt(54+9x^2)dx#?
  
• How do you simplify #sec(tan^(-1)(x))# ?
  
• How do you integrate #int x^3 sqrt(-x^2 - 8x-41)dx# using trigonometric substitution?
  
• What is #int sec(x)^3tan(x)dx# ?
  
• What is #inttan(x)^3sec(x)^3dx# ?
  
• How do you find the limit of # (1 - x + log_ex) / (1 - sqrt(2x - x^2))# as x approaches 1?
  
• How do you find the limit of #1/(1+e^(1/x-2))# as x approaches #-2^+#?
  
• What is the antiderivative of #(arccos(x/6))^2#?
  
• What is #intx/sqrt(1-x^2)# ?
  
• How do you integrate #int (e^x-1)/sqrt(e^(2x) -16)dx# using trigonometric substitution?
  
• What is the local linearization of #y = sin^-1x # at a=1/4?
  
• How do you long divide #(12x³-11x²-27x-9) / (4x+3)#?
  
• How do you long divide #(x^2)/(2x + 4)#?
  
• How do you divide #(-x^3 + 75x - 250) # by #x+10#?
  
• How do you find all the asymptotes for function #y=3(2)^(x-1) #?
  
• How to simplify #tan(sec^(-1)(x))# ?
  
• How do you find the indefinite integral of #int (x^2+2x+3)/(x^2+3x^2+9x)#?
  
• How to simplify #sin(sec^(-1)(x))# ?
  
• Integration of #(x-1)/(sqrtx(x-1))# dx?
  
• What is #int (-2x^3-2x^2+6x+9 ) / (2x^2- x +3 )#?
  
• What is the integral of cosine^6 (x) dx ?
  
• How do you solve #\frac { 1} { 4} ( 5x - 27) \leq \frac { x + 10} { 3} < 10#?
  
• Help with this limit...?
  
• How many solutions can be found for the linear equation?
  
• How do you divide #(- 2v ^ { 3} + 10v ^ { 2} - 27) \div ( v - 4)#?
  
• Given that; #5log_4 a + 48log_a 4 = a/8# Find #"a"#?
  
• What are the asymptotes of #f(x)=-x/((x-1)(x^2-4)) #?
  
• Using trigonometric substitution, how do you integrate integral of #x^3 (x^2+4)^(1/2) #?
  
• How do you integrate #int 1/sqrt(3x-12sqrtx+53) # using trigonometric substitution?
  
• Thoughts on the recent announcement made about the future of the Socratic website? Share them here!
  
• How do you integrate #int x/sqrt(3x^2-6x-8) dx# using trigonometric substitution?
  
• How do you integrate #tan^3xsec^4xdx#?
  
• How do you solve this? #4^x=2^(x-1)-8#
  
• Integrate x/(x-1)(x^2+4) dx ?
  
• How do you divide #(2x^3+4x^2+2x+2)/(x^2+4x-2)#?
  
• How do you graph and solve #|y+8| >3#?
  
• What is the derivative of (x^x)^x?
  
• Need to integrate this with substitution #int_(pi/2)^pi6sinx(cosx+1)dx#?
  
• How do you solve #2abs(y-3)+6 < 0#?
  
• Lim x—>4 ( x^(5/2) - 4^(5/2) )/ (x-4) Answer Value ..?
  
• Integral of 2x/(x^2-x-6)?
  
• How do you factor the trinomial #x² + 5x +6#?
  
• Let #alpha# and #beta# be the roots of the equation #(k-1)x^2+(1-5k)x+4k=0# where k is real and k does not equal to 1. Find the value of k if #alpha=beta# ?
  
• What is the quotient rule?
  
• How do you differentiate #f(x)= (x^2-x+2)/ (x- 1 )# using the quotient rule?
  
• What is the integral of #int x/ cos^2(x)dx#?
  
• How do you simplify #\frac { 2- \sqrt { 12} } { 16}#?
  
• What are the asymptote(s) and hole(s), if any, of # f(x) =(1-x)^2/(x^2-2x+1)#?
  
• How can I calculate the limit of 5 - ((-1)^x)/(√x) when x goes toward infinity?
  
• If 2x+ 2/sqrt x =7 Then x - 2sqrt x = ?
  
• How do you integrate #f(x)=intsin(e^t)dt# between 4 to #x^2#?
  
• Solve the inequality 1/x<or=|x-2| for real numbers?
  
• What is #int (ln(3x-1))^-2dx#?
  
• What is the square root of 42.3?
  
• What is the cubed root of 32?
  
• What is the standard form of # y= (x-5)(x-2)+(3x-1)^2#?
  
• How do you simplify #sqrt14-sqrt2/7#?
  
• What are the important points needed to graph #f(x)= 3x²+x-5#?
  
• How to solve the quadratic equation 4c (c + -3) 2c (2c +5) for factors and roots? Thank you very much!
  
• What is the missing term in the factorization?
  
• How do I simplify (3t+15)/4 * 8t/t+5= ? TIA
  
• The sum of two consecutive even integers is 234. What is the larger integer?
  
• How do you integrate #int cos(lne(x)) # using integration by parts?
  
• Express log2(6!) in form a + log2(b) where a and b are integers and b is the smallest possible value?
  
• How do you use partial fraction decomposition to decompose the fraction to integrate #4/((x^2+9)(x+1))#?
  
• How do you solve #3x(x-2)=25+4x^2-4x#?
  
• How do you solve #-8x-12=-12#?
  
• What is #f(x)=x^2-4x-12# in factored form?
  
• How do you factor the expression #x^2 - 10x + 25#?
  
• #D^2 = 16# solve quadratic equation?
  
• How do you simplify #(2z^2 - 11z + 15)/(z^2 - 9)#?
  
• How do you simplify #(x^2+3x+2)/(x^2-1)#?
  
• Log3(x2+2x-2×2/3)=-1 How?
  
• Does the sequence converge or diverge? #lim sin(4n)/(7+sqrtn)#?
  
• How do you solve # -13≥ -7w-13#?
  
• Find the roots of #e^(xcoshx)=3#?
  
• How do you integrate #int (2x+4)/((x+2)(x-6)(x^2+3)) dx# using partial fractions?
  
• If the equation #k(10x-5)=2(3+x)-7# has infinitely many solutions and #k# is a constant, what is the value of #k#?
  
• What are the absolute extrema of #f(x)=1/(1+x^2) in[oo,oo]#?
  
• What are the values and types of the critical points, if any, of #f(x)=x^4/(6x^2+x)#?
  
• What are the values and types of the critical points, if any, of #f(x) =x^2-sqrtx#?
  
• How do you find the local max and min for #f(x)=2x^3 + 5x^2 - 4x - 3#?
  
• How do you solve #2 6/7f = 1/3#?
  
• Solve #-46=-2(33-2x)^(3/4) + 8# ?
  
• Find the #lim_(x rarr oo) sinx/x# help me?
  
• How do you write #8/74# in simplest form?
  
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