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Evaluate ∫ sec^4x dx

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Evaluate ∫ sec4x dx

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Best answer

∫ sec4x dx

Above equation can be solve by using one formula that is (1+ tan2x = sec2x)

I = ∫ sec4x dx 

= ∫ sec2x sec2x dx 

= ∫ sec2x ( 1 + tan2x ) dx 

= ∫ sec2x dx + ∫ sec2x tan2x dx 

Put tanx = t in above equation so that sec2xdx = dt

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