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Consider the following function. ∫25−x2x3dx (a) Determine an appropriate trigonometric substitution. Use x=5sin(θ), wh
Posted: Thu Jul 14, 2022 4:26 pm
by answerhappygod
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Consider the following function. ∫25−x2x3dx (a) Determine an appropriate trigonometric substitution. Use x=5sin(θ), where −2π≤θ≤2π, since the integrand contains the expression 52−x2. Use x=5tan(θ), where −2π<θ<2π, since the integrand contains the expression 52−x2. Use x=5sec(θ), where 0≤θ<2π or π≤θ<23π, since the integrand contains the expression 52−x2. (b) Apply the substitution to transform the integral into a trigonometric integral. Do not evaluate integral. ∫25−x2x3dx=∫(x)dθ