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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