Question and Answers Forum

All Questions      Topic List

Others Questions

Previous in All Question      Next in All Question      

Previous in Others      Next in Others      

Question Number 81657 by zainal tanjung last updated on 14/Feb/20

$$\underset{0}{\stackrel{3}{\int }}\frac{\mathrm{x}+1}{{({\mathrm{x}}^2+2\mathrm{x})}^{15}}=....$$

Commented by Tony Lin last updated on 14/Feb/20

$$\int \frac{x+1}{{(x^2+2x)}^{15}}dx$$$$\Rightarrow letu=x^2+2x,then\frac{du}{dx}=2(x+1)$$$$\int \frac{1}{2u^{15}}du$$$$=-\frac{1}{28u^{14}}+c$$$$=-\frac{1}{28(x^2+2x)}+c$$$${\int }_0^3\frac{x+1}{{(x^2+2x)}^{15}}dx$$$$={[-\frac{1}{28(x^2+2x)}]}_0^3$$$$\Rightarrow divergent$$

Commented by zainal tanjung last updated on 14/Feb/20

$$\mathrm{Thanks}\mathrm{Sir}!$$

Terms of Service

Privacy Policy

Contact: info@tinkutara.com