Can someone please explain to me how we can solve these integrals to determine w

Question

Can someone please explain to me how we can solve these integrals to determine whether fundamental theorem works? I thought you could do them all by just doing F(b) - F(a).

Many functions do not have elementary antiderivatives and as a result, definite integrals cannot be evaluated exactly using the Fundamental Theorem of Calculus. In each case determine if the definite integral can or cannot be evaluated exactly using the Fundamental Theorem. The Fundamental Theorem can be used. The Fundamental Theorem cannot be used. The Fundamental Theorem can be used. The Fundamental Theorem cannot be used. The Fundamental Theorem can be used. The Fundamental Theorem cannot be used. The Fundamental Theorem can be used. The Fundamental Theorem cannot be used.

Explanation / Answer

a) the 1st integral cant be determined

b) use by parts integration.

c) use by parts integration.

d) use byparts integration

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