Solve the trigonometric integral int(1/(1+cos(x)^2))dx | SnapXam

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 Exercise

\int\left(\frac{1}{1+\cos^2\left(x\right)}\right)dx

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Final answer to the exercise  

\frac{\arctan\left(\frac{\tan\left(\frac{x}{2}\right)}{\sqrt{1-\sqrt{2}\tan\left(\frac{x}{2}\right)}}\right)\sqrt{1+\sqrt{2}\tan\left(\frac{x}{2}\right)}+\arctan\left(\frac{\tan\left(\frac{x}{2}\right)}{\sqrt{1+\sqrt{2}\tan\left(\frac{x}{2}\right)}}\right)\sqrt{1-\sqrt{2}\tan\left(\frac{x}{2}\right)}}{2\sqrt{1-\sqrt{2}\tan\left(\frac{x}{2}\right)}\sqrt{1+\sqrt{2}\tan\left(\frac{x}{2}\right)}}+C_0

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Integrate by partial fractions
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Integrate using tabular integration
Integrate by trigonometric substitution
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Integrate using trigonometric identities
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Product of Binomials with Common Term
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∫(11+cos²(x) )dx

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