suggest an appropriate trig substitution for x in int(x^5/(x^2-5)^3/2)dx and int((3-x^2)^5/2)dx
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Originally Posted by samdmansam suggest an appropriate trig substitution for x in int(x^5/(x^2-5)^3/2)dx $\displaystyle x = \sqrt{5} \sec \theta$ int((3-x^2)^5/2)dx $\displaystyle x = \sqrt{3} \sin \theta$
The first one is also solvable by standard algebraic techniques.
Originally Posted by Krizalid The first one is also solvable by standard algebraic techniques. you mean a regular substitution of $\displaystyle u = x^2 - 5$, or something else? yes, that regular substitution will do it, but the poster asked for a trig substitution, so ... [off-topic] what happened to your other badge, Krizalid? [/off-topic]
Yeah, but observe that I said "also." As for my another badge, I personally asked to be removed.
Originally Posted by Krizalid Yeah, but observe that I said "also." were you thinking about what i suggested, or something else? As for my another badge, I personally asked to be removed. really? how come? the badges getting too heavy?
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