Calculus

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Use either substitution or integration by parts to evaluate the integral:

∫(x+2)/(x²+2) dx

Thank you!!

  • Calculus -

    If x = √2 tan t,
    x2 = 2tan2t
    x2 + 2 = 2sec2t
    dx = √2 sec2t

    and the integrand becomes

    (√2 tan t + 2)/(2sec2t) * √2 sec2t
    = (√2 tan t + 2)/√2 = tan t + √2

    Play around with that, remembering that d(cost) = -sint

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