integrate

Question

integrate

amistre64 · Answer

what have you considered?

anonymous · Answer

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amistre64 · Answer

what is the derivative of:  e^(kx) with respect to x? for some constant k

amistre64 · Answer

ok, so this derivative looks similar to what we have, it differs by a sign right?

lets alter its appearance some; multiply it by (-1/-1)

amistre64 · Answer

$$\int\frac{-1}{-1}\frac14e^{-x/4}dx$$
$$\int\frac{1}{-1}\frac{-1}4e^{-x/4}dx$$
$$\frac{1} {-1}\int\frac{-1}4e^{-x/4}dx$$
or simply
$$-\int-\frac{1}4e^{-x/4}dx$$

amistre64 · Answer

we know an antiderivative of the integral so, we should certainly be able to use it for a solution

amistre64 · Answer

u-subbing is a valid process, but i find that training yourself to see the possibilities of where it comes from is more conducive with timed tests :)

amistre64 · Answer

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