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Integration of 1/√(1+4x^2)

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Integration of 1/√(1+4x^2)

    • Posted by Sandeep Tiwari 4 years, 1 month ago

    CBSE > Class 12 > Mathematics
    • 2 answers

    Suryakant Swain 4 years, 1 month ago

    ∫1dx/√(1+4x²) According to formulae =ln(x+√(x²+y²)+k Therefore ∫1dx/√(1+4x²) =ln(2x+√(1+4x)+k (ans)

    1Thank You

    Manya Tyagi 4 years, 1 month ago

    You can take 4x^ 2 as (2x)^2 and use the formula of special integration and after solving that you will get final answer as Log |2x +√1+4x^2| + C.

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