Integration of sqrt(tanx) + sqrt(cotx) | Indefinite Integration Problem

[@vcvartak7111]

This is important problem in integration. Since there is famous problem intgrate square root (tan(x)). We can use this and it's conjugate sqroot (tan(x))-sqroot(cot(x)) and then add the two and get integral of sqroot (tan(x)). It's conjugate part can be done in same way you done

[@rahulpaul5539]

Or u can multiply by √2/√2 with (sinx + cosx)/√sinxcosx dx .......
Then we have √2 Integ. (Sinx + cosx)/√(2sinxcosx +1 -1)
So, √2 Integ. (Sinx +cosx)/√{1-(sinx - cosx)^2}.....
Now putting sinx -cosx =t and then solve for integral

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[@ultrabingus961]

Hello, can i request a problem? I can't solve it.
Given that
x - 7y + 8z = 4
8x + 4y - z = 7
Find the maximum value of x² - y² + z²
Thanks

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[@AbhijitRoy-ub8nu]

sir, Can you help me to solve Integration x^sinx dx.

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