Question and Answers Forum

All Questions      Topic List

Integration Questions

Previous in All Question      Next in All Question      

Previous in Integration      Next in Integration      

Question Number 61566 by aliesam last updated on 04/Jun/19

$${\int }_2^4\frac{\sqrt{ln(9-(6-x)}}{\sqrt{ln(9-x)}+\sqrt{ln(3-x)}}dx$$

Answered by tanmay last updated on 04/Jun/19

$$ithinkquestionistypoerror..$$$${\int }_a^{b}f\left(x\right)dx={\int }_a^{b}f(a+b-x)dx$$$$I={\int }_2^4\frac{\sqrt{ln(3+x)}}{\sqrt{ln(9-x)}+\sqrt{ln(3+x)}}dx$$$$={\int }_2^4\frac{\sqrt{ln(3+6-x)}}{\sqrt{ln(9-(6-x)}+\sqrt{ln(3+6-x)}}dx$$$$={\int }_2^4\frac{\sqrt{ln(9-x)}}{\sqrt{ln(3+x)}+\sqrt{ln(9-x)}}dx$$$$2I={\int }_2^{4}1\times dx$$$$2I=(4-2)$$$$I=1$$

Commented by aliesam last updated on 04/Jun/19

$$yesthatsright$$$$thankyousir$$

Commented by tanmay last updated on 04/Jun/19

$$mostwelcomesir$$

Terms of Service

Privacy Policy

Contact: info@tinkutara.com