Answers created by Øko

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• (ln^2 x)/x integral from 1 to e^2 is?
  
• #int_0^oo arctanx/(x(x^2+a^2))dx# ?
  
• What is #sum_(k=0)^(4n+2)1/(k+1)+1/(k+3)# ?
  
• If sinθ =4/7, what is cosθ?
  
• What is the integral of x*sin(sqrt.(x^2 + 4))/sqrt.(x^2 + 4) ?
  
• Integral of (12sinx-2cosx+3)/(sinx+cosx) ?
  
• Prove trigonometric identities?
  
• Find the general solution of #xdy/dx = xy + y# ?
  
• Calculate #lim_(xto1)(e^f(x)-1)/(x-1)# ?
  
• How do you differentiate this...?
  
• What is ∫tan^2 x dX ?
  
• What's the antiderivative of (sin3x)^2 do with upper limit of Pi/2 and lower limit of 0?
  
• What is the limit of x to infinity of x^2-3/e^x?
  
• Mrs. O'Leary's cat is stuck in her backyard tree. A fireman positions a ladder against the tree branch and rescues the cat.?
  
• INTEGRATION. Why both results are the same?
  
• Lim x—> 0 (1-cos4x)/(1-cos5x) Answer The Value ?
  
• Lim of x^3 × e^(-x^2) as x approaches infinity?
  
• Show the identity can be derived from a sum or a difference identity and the pythagorean identity?
  
• ∫e^(-mx).x^(7)dx Limits zero to infinity ????
  
• What is the average value of the function #f(x)=3x^2-4# on the interval [ 2, 6]?
  
• What is the integral using the substitution u=sin(2x)?
  
• How do I find the derivative of f(x) = 6x^2 - 1 using the definition of a derivative?
  
• How to find length of this tape ?
  
• Evaluate: int(1+2sinx/cos^2x)dx?
  
• Evaluate the integrals : 3x^2 sqr(x^3+1)dx?
  
• Use series to evaluate limit below?
  
• #int_0^1(x^7-1)/lnxdx# = ?
  
• How do you Integrate?
  
• Evaluate the integration of : (co3x-x^2)(sin3x-x^3)dx?
  
• How can slove this ? #int sin(2x)/ "1+cot^2(x)" dx#
  
• Int(x-1)(x-2)/x+4 dx ?
  
• Evaluate the integral of : cosecx*cotX all devide by 2-cosecX dx?
  
• X.COS²X dx ka integration ?
  
• How to do this?
  
• Please can you prove this?
  
• How do you evaluate #int cot^5(2x) dx#?
  
• Are there any method apart from integration by parts , u substituting, trig substitution or partial decomposition for difficult integrals?
  
• How do you sipmify this ?
  
• How do you prove cosθ + cos2θ + cos3θ = (2cosθ + 1) cos2θ ?
  
• Value of this integral and how to solve it?
  
• How do you find the indefinite integral of ∫ dx / √(x+1) + √(x+1)^3 ?
  
• How do you find the indefinite integral of ∫ (x - sinx ) dx / x^2 + 2 cosx ?
  
• How do you find the indefinite integral of ∫ x^2 - 2 dx / x^3 - 4x ?
  
• How do you find the indefinite integral of ∫ dx / sin^3 x cos^5 x ?
  
• How to integrate question of types: #int (asinx+bcosx)/(csinx+dcosx) dx# where a,b,c, d are coefficients by several methods?
  
• How do you find the indefinite integral of ∫sin 4xe^sin2x dx?
  
• #int_0^pilog(sin^2 x) dx=0#?
  
• Simplify: sin^2x - cos^2x / 1-tan^2x ?
  
• Please solve int(3x^5-2/x^3)dx?
  
• What is the derivative of ln(x^3 • sin x ^2)?
  
• How do you integrate #tan^3(x) sec^5(x)dx#?
  
• Evaluate #I=\int\cos^4(x)dx#?
  
• How do you integrate #int(x+2)/(x+1)^3 dx# =?
  
• What is #int tan^2(2x) sec^4(2x) dx#?
  
• How do you integrate? #int(2x - 2)/(sqrtx +1) dx#
  
• How do you integrate?
  
• Integration of x/(2x+5)?
  
• Integration of(1+x-1/x)e^(x+1/x)is?
  
• Integral of the power products, solve the following integral: #(sin^3sqrt(x))/sqrt(x)dx# ?
  
• Simplify ? # (cos^2a - sin^2b)/(sin^2a • sin^2b) - ctg^2a • ctg^2b #
  
• Simplify sin^2b/1+cosb=?
  
• How do you integrate this?
  
• Integrate sin9x cos3x dx ?
  
• Integrate csc^3 2x dx ?
  
• What are the solution in the interval [0, 2pie]? sec^2x-tan^2x=0
  
• If tanx=-3/4 and 3Π/2<x<2Π,then value of sin2x?
  
• Int1/1-sin^4x =?
  
• Immediate. Immediate. Please help with limit problem?
  
• Integral of 1/(route 2x+5)+(route 2x-3)?
  
• Int_Sin4x/Sin^4x+Cos^4x=?
  
• How do you find the integral of #tan^3(2x) sec^100(2x) dx#?
  
• Prove? cotx-tanx = cos2x/sinxcosx
  
• Evaluate integration 1÷(x+1)(x+4)dx ?
  
• The taylor series about 0 for the function f(x)=cos (x) ?
  
• How to evaluate this sum?
  
• How do you find the sum of this series?
  
• integrate the following: #inte^x[tanx+sec^2x]# ?
  
• What is the integral of (1+x)3^x?
  
• How to solve it ?
  
• How do i solve this question?
  
• Expand #sin^6 x#?
  
• Write each expression as a single angle and evaluate if possible? 2Sin30°Cos30°
  
• Find the derivative of the function?
  
• FIND #int_. (x^2)ln 5x dx# using IBP (Integration by parts) ?
  
• Show that #int_0^1sinx/sqrt(x^2+1)dx<sqrt2-1# ?
  
• How can this be reduced to the simplest form?
  
• 4. Equation or Identity? Is the following relationship an equation or an identity? If an equation, solve it. If an identity, prove it. #(secx-tanx)^2 = (1-sinx)/(1+sinx)#
  
• If f(x)=5x(sinx)(cosx), then what does f'(x) equal?
  
• How to do this question, finding the value of a?
  
• Show d/dx (cot x)=-(cosec x)^2.?
  
• How do yo solve #2Cos^2(x) - 2sen(x) + 12 = 0# ?
  
• I want to know how to integrate Sin(2x)*Sin(5x)dx?
  
• How to prove that cos^2x-sin^2x/sinxcosx=2-sec^2x/tanx?
  
• Tan (-pi/2)=what?
  
• Find the differential of y in the function: y=(x^2-4)/(x-3) ?
  
• Find the differential of y in the function: y=x^3cosx ?
  
• What is the right answer?
  
• How do you use De Moivre's theorem to express (1 + i)^8?
  
• Integrate? S10/√(2+√x)dx
  
• Please help? Solve the equation fro exact solutions over the interval (0degrees, 360 degrees)
  
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