∫dx/cos^2X+4sin^2X
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∫dx/cos^2X+4sin^2X∫dx/cos^2X+4sin^2X∫dx/cos^2X+4sin^2X原式=∫dx/(cos²x(1+4tan²x))=∫d(tanx)/(1
∫dx/cos^2X+4sin^2X
∫dx/cos^2X+4sin^2X
∫dx/cos^2X+4sin^2X
原式=∫dx/(cos²x(1+4tan²x))
=∫d(tanx)/(1+4tan²x)
=1/2∫d(2tanx)/(1+(2tanx)²)
=arctan(2tanx)/2+C (C是积分常数).
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∫dx/cos^2X+4sin^2X
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