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 46657 by Necxx last updated on 29/Oct/18

$$integrte{\sin }^{-1}x$$

Answered by tanmay.chaudhury50@gmail.com last updated on 29/Oct/18

$$\int {sin}^{-1}x$$$${sin}^{-1}x\times \int dx-\int [\frac{{dsin}^{-1}x}{dx}\int dx]dx$$$${xsin}^{-1}x-\int \frac{x}{\sqrt{1-x^2}}dx$$$$t^2=1-x^{2}2tdt=-2xdx$$$$so\int \frac{xdx}{\sqrt{1-x^2}}$$$$\int \frac{-tdt}{t}.=-t=-\sqrt{1-x^2}$$$$ansis$$$${xsin}^{-1}x+\sqrt{1-x^2}$$$$$$

Commented by Necxx last updated on 29/Oct/18

$$thanksboss$$

Terms of Service

Privacy Policy

Contact: info@tinkutara.com