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## Main Question or Discussion Point

There isn't an applied mathematics thread so i'll post this here.

I'm an undergraduate and I have a presentation for my numerical methods/matlab class . I'm looking for examples of

1)Integrals which are easier/faster to integrate numerically than do evaluate using their antiderivatives. (power series etc)

2)Integrals whose antiderivatives are not elementary functions on a bounded interval without ''smoothness'' problems on bounds, and if possible with a known integral value.

Thank you.

I'm an undergraduate and I have a presentation for my numerical methods/matlab class . I'm looking for examples of

1)Integrals which are easier/faster to integrate numerically than do evaluate using their antiderivatives. (power series etc)

2)Integrals whose antiderivatives are not elementary functions on a bounded interval without ''smoothness'' problems on bounds, and if possible with a known integral value.

Thank you.