Use implicit differentiation to find dy/dx in terms of x if a tan y = (x^2) where (- pi/2) < y < (pi/2) Deduce the exact value of ∫ [ x/ (1+4(x^4))] for x from (1/2)^0.5 to [(3^0.5)/2]^0.5 Thank you!!
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#1: Simply solve for y' (it's ok to have dy/dx in terms of both x and y) #2 Use: So: This should remind you of arctan(u) ...
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