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4-x-4-x-dx-




Question Number 7960 by tawakalitu last updated on 25/Sep/16
∫((4 − x)/(4 + x)) dx
$$\int\frac{\mathrm{4}\:−\:{x}}{\mathrm{4}\:+\:{x}}\:{dx} \\ $$
Commented by Yozzia last updated on 25/Sep/16
∫((4−x)/(4+x))dx=∫((8/(4+x))−1)dx=8ln(x+4)−x+c
$$\int\frac{\mathrm{4}−{x}}{\mathrm{4}+{x}}{dx}=\int\left(\frac{\mathrm{8}}{\mathrm{4}+{x}}−\mathrm{1}\right){dx}=\mathrm{8}{ln}\left({x}+\mathrm{4}\right)−{x}+{c} \\ $$
Commented by tawakalitu last updated on 25/Sep/16
Thanks so much sir.
$${Thanks}\:{so}\:{much}\:{sir}. \\ $$
Answered by prakash jain last updated on 02/Oct/16
answer in comments
$$\mathrm{answer}\:\mathrm{in}\:\mathrm{comments} \\ $$

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