Answer Happy

Consider the following function. ∫x2−3​x2​dx (a) Determine an appropriate trigonometric substitution. Use x=3​sin(θ), where −2π​≤θ≤2π​, since the integrand contains the expression x2−3​. Use x=3​tan(θ), where −2π​<θ<2π​, since the integrand contains the expression x2−3​. Use x=3​sec(θ), where 0≤θ<2π​ or π≤θ<23π​, since the integrand contains the expression x2−3​. (b) Apply the substitution to transform the integral into a trigonometric integral. Do not evaluate the integral. ∫x2−3​x2​dx=∫(∣+)dθ