Theme: Integral...
  • How I can solve this integral ∫ dx / akar 25 - 16x^2? ,
  • How do I find the integral ∫10(x−1)(x2+9)dxint10/((x-1)(x^2+9))dx?
  • F(x)=3-(1/2)x evaluate the Riemann sum for 2
  • Evaluate the integral of arctan(1/x)
  • Integrate cosx/sqrt(1+cosx)dx
  • What is the integral of sec 2x * tan 2x dx?
  • Approximate the integral 0 to pi/2 xsin(x)dx by computing the Left and Right sums, using the parition (0, pi/6, pi/4, pi/3, pi/2).
  • A particle travels along a straight line with a velocity of v(t)=3e^(-1/2)sin(2t) meters per second. What is the total distance in meters, traveled by the particle during the time interval 0
  • Integrate sec x ( sec x + tan x ) dx
  • What is the integral of sec (3x) tan (3x) dx?
  • Sketch the region R defined by 1≤ x≤ 2 and 0≤ y≤ 1/x^3 a) Find (exactly the number a such that the line x = a divides R into two parts of equal area. b) Then find (to 3 places) the number b such that the line y = b divides R into two parts of equal area.
  • Use the three steps to solve the problem. The sum of 3 consecutive integral numbers is 117. Find the numbers.
  • 2 boxes of yellow 8 boxes of blue 6 box of ref from which 4 counters have been removed from each box and the remaining number has been doubled write down the equation
  • Evaluate integral dx/169-196x^2
  • Integrate the following: e^(2x)
  • Integrate xe^(-x^2).
  • The integral of (e^-x) cos(4x) dx.
  • Two Tibetan monks are having a race along a straight path. They both start at the same time, and the race ends in a tie. Prove that at some time during the race the two monks have exactly the same speed.
  • If n is a positive integer, then lim (n-> infinity) (1/n) [1/(1+(1/n) + 1/(1+(2/n)+.+1/(1+(n/n)] is? the above can be expressed as a. ) integral from 0 to 1 of (1/x) dx b. ) integral from 1 to 2 of (1/(x+1))dx c. ) integral from 1 to 2 of (x)dx d. ) integral from 1 to 2 of (2/(x+1)) e. ) integral from 1 to 2 of (1/x)
  • Find the area of the surface of revolution generated by revolving the curve y = 3 sqrt (x), 0 <= x <= 4, about the x-axis. Okay, so I’ve set up the integral like this: 2pi ∫[0,4] (3 sqrt (x)(sqrt(1+(1/4x)dx Which is coming out to 108.5, but that’s not givingthe right answer. Can you set up the integral correctly or tellwhat I’m doing wrong?
  • 1 2 > >>