Question

Evaluate the integral:  ∫23√x2−4x4dx (A) Which trig substitution is correct for this integral? x=4sec(θ) x=4tan(θ) x=23sin(θ) x=2sec(θ)...

Evaluate the integral:  ∫23√x2−4x4dx

(A) Which trig substitution is correct for this integral?

  • x=4sec(θ)
  • x=4tan(θ)
  • x=23sin(θ)
  • x=2sec(θ)
  • x=2tan(θ)
  • x=2sin(θ)

(B) Which integral do you obtain after substituting for x and simplifying?
Note: to enter θ, type the word theta.
∫ dθ
   

(C) What is the value of the above integral in terms of θ?
+ C  
   

(D) What is the value of the original integral in terms of x?
+ C

Math   Calculus   
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