Evaluate ∫ x^100 sin^-1(x^101)dx/√(1-x^201) integration class xii
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Evaluate ∫ {(1+x+√(x+x^2) } dx/{(√x +√(1+x)} integration

You can't do the derivative of this function "nomrally"
![Prove that tan^-1[ {√(1+cosx) +√(1-cosx)/√(1+cosx) -√(1-cosx) }] =𝜋/4 + 𝜋/2](https://i.ytimg.com/vi/8WCGTm-Ym84/hqdefault.jpg?sqp=-oaymwEjCNACELwBSFryq4qpAxUIARUAAAAAGAElAADIQj0AgKJDeAE=&rs=AOn4CLBIytXeuAtuDXqdxN1Wn-nTNR1zNg)
Prove that tan^-1[ {√(1+cosx) +√(1-cosx)/√(1+cosx) -√(1-cosx) }] =𝜋/4 + 𝜋/2

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