#Method for accurate integration in C

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marsh crypt
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I'm looking to create a simple C program to do some simple definite integration, I've watched a few videos on the topic and all of them seem to use loops and such to calculate the integrals. This method doesn't product answers that are accurate enough my use case. Is there any other method? Such as libraries or something of that nature.

By the way I'm very new to C.

fleet nimbusBOT
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hushed geyser
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Possibly that helps