Let `f(x)=int x^2/((1+x^2)(1+sqrt(1+x^2)))dx` and `f(0)=0` then `f(1)` is

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Let 𝒇(𝒙)=βˆ«π’…π’™/((πŸ‘+πŸ’π’™^𝟐)√(πŸ’βˆ’πŸ‘π’™^𝟐 )), |𝒙| less than 𝟐/βˆšπŸ‘. If 𝒇(𝟎)=𝟎 and 𝒇(𝟏)= 𝟏/𝜢𝜷 𝐭𝐚𝐧^(βˆ’πŸ) 𝜢/𝜷, Let 𝒇(𝒙)=βˆ«π’…π’™/((πŸ‘+πŸ’π’™^𝟐)√(πŸ’βˆ’πŸ‘π’™^𝟐 )), |𝒙| less than 𝟐/βˆšπŸ‘. If 𝒇(𝟎)=𝟎 and 𝒇(𝟏)= 𝟏/𝜢𝜷 𝐭𝐚𝐧^(βˆ’πŸ) 𝜢/𝜷,
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