Definite Integrals with Substitution - Page 2

Questions
  • How to find the following integral?
  • Integral With absolute value how to solve it?
  • How to find integral #int_-4^3(x+|x|)/2tan^-1(3x)dx# ?
  • The integral of(4x^3 -12x)(x^4 -6x^2)^3 dx?
  • How do you find the intergal of (x^2+3x)^2/(2x+3)?
  • The following sum √(7+(6/n)^2)*(6/n)+√(7+(612n)^2)*(6/n)+…+√(7+(6n/n)^2)*(6/n) is a right Riemann sum with n subintervals of equal length for the definite integral ∫b and 5 f(x)dx where b= f(x)= ?
  • If f is continuous and (0,4)∫ f(x) dx = -18, how to evaluate (0,2)∫ f(2x) dx ?
  • How do you find #\int _ { - 2} ^ { 1} ( x - 8| x | ) d x#?
  • How do you find #\int \frac { x } { ( 1+ 4x ^ { 2} ) ^ { 2} } d x #?
  • How do you find #\int _ { 0} ^ { 2} \frac { x } { \sqrt { 2x ^ { 2} + 1} } d x#?
  • Is there an error in this question: Show that #((del^2Q)/(delbeta^2))_V = bar(E^2) - barE^2# (the variance of the energy)? #beta# is only a function of temperature #T#, not a function of volume #V#. #E# is a function of only #V#.
  • How to find #int(10x^3-7x)/(5x^4-7x^2+8)dx# ?