Consider the following function. ∫1+x2​x4​dx (a) Determine an appropriate trigonometric substitution. Use x=sin(θ), wher

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Consider the following function. ∫1+x2​x4​dx (a) Determine an appropriate trigonometric substitution. Use x=sin(θ), where −2π​≤θ≤2π​, since the integrand contains the expression 1+x2​. Use x=tan(θ), where −2π​<θ<2π​, since the integrand contains the expression 1+x2​. Use x=sec(θ), where 0≤θ<2π​ or π≤θ<23π​, since the integrand contains the expression 1+x2​. (b) Apply the substitution to transform the integral into a trigonometric integral. Do not evaluate the integral. ∫1+x2​x4​dx=∫(∣)dθ