C3 integration help Watch

Phoebus Apollo
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#1
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#1
This isn't an actual question, but I just wanted to know how you would integrate these:

cos(3x^2 + pi/2)

And

e^(3-4x^2)

Sorry I don't know how to type the integration sign. Thanks in advance
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Zacken
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(Original post by Phoebus Apollo)
This isn't an actual question, but I just wanted to know how you would integrate these:
You wouldn't be able to integrate either of those, neither of them have elementary anti-derivatives. One gets you the Fresnel S integral and the other gets you the error function.

Integration is a fiddle business and whilst differentiation is very easy (squeezing toothpaste out), integration is very hard (trying to put the toothpaste back in).
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joostan
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#3
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(Original post by Phoebus Apollo)
This isn't an actual question, but I just wanted to know how you would integrate these:

cos(3x^2 + pi/2)

And

e^(3-4x^2)

Sorry I don't know how to type the integration sign. Thanks in advance
The easiest way to type these would be with LaTeX.
As for these integrals, there is no closed form for an analytic solution for either, but for integrating between certain limits, it is possible to evaluate these exactly, this is however, well beyond anything required at A-Level.
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