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Consider the following function. ∫1+x2x4dx (a) Determine an appropriate trigonometric substitution. Use x=sin(θ), wher
Posted: Thu Jul 14, 2022 4:25 pm
by answerhappygod
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Consider the following function. ∫1+x2x4dx (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+x2x4dx=∫(∣)dθ