z/3 1 + (cos 0 )2 (cos Ꮎ ) 2 ᎾᏢ .

Q: dx

A: Consider the integral

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A:

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A: Given :

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A: we will do it by integration by parts ∫uv=u∫v-∫u'∫v

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A:

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A:

Q: Evaluate the integral.

A:

Q: Evaluate the indefinite integral Sezte dx

A:

Q: Evaluate the impreper integral de 8.

A: It is given that, ∫-∞∞xx4+1dx Let's make a substitution at x. Let us consider, x=tan θ  ...(1) This…