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Roxy
Roxy asked in Science & MathematicsMathematics · 7 years ago

is my answer correct please check it calculus?

intgral sec^2(x) / squareroot tanx

my answer was -2(tanx)^-1/2 +c

2 Answers

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  • Nick
    Lv 6
    7 years ago

    answer should be 2√(tanx) + c

  • Niall
    Lv 7
    7 years ago

    Use a u substitution:

    u = tan(x)

    du = sec^2(x) * dx

    ----------

    Substitute accordingly:

    ∫ u^-1/2 * du

    Integrate:

    = 2u^1/2 + C

    Now substitute tan(x) back for u:

    2sqrt[tan(x)] + C

    You were very close, keep up the good work :)

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