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Determine the integral: ∫5x^4dx

x^5+C

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How should I approach a proof by induction question?


The normal to the curve x*(e^-y) + e^y = 1 + x, at the point (c,lnc), has a y-intercept c^2 + 1. Determine the value of c.


log_10⁡((1/(2√2))*(p+2q))=(1/2)(log_10⁡p+log_10⁡q),p,q>0,find p in terms of q.


How does proof by induction work?


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