∫cosx/(2+cos2x)^(0.5) dx

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∫cosx/(2+cos2x)^(0.5)dx∫cosx/(2+cos2x)^(0.5)dx∫cosx/(2+cos2x)^(0.5)dx∫cosx/(2+cos2x)^(0.5)dx=∫cosx/(

∫cosx/(2+cos2x)^(0.5) dx
∫cosx/(2+cos2x)^(0.5) dx

∫cosx/(2+cos2x)^(0.5) dx
∫cosx/(2+cos2x)^(0.5) dx
=
∫cosx/(2+1-2sin^2x)^(0.5) dx
=
∫dsinx/(3-2sin^2x)^(0.5)
=1/√2∫d√2sinx/(3-2sin^2x)^(0.5)
=1/√2arcsin[(√2sinx)/√3]+c