Xdx: Integration of x refers to

Integration of x refers to the process of evaluating the integral of x using the power rule and the product rule. Understand integration of x using solved examples. Ex 7.8, 13 ∫_2^3 𝑥𝑑𝑥 / (𝑥2+1) Step 1 :- Let F (𝑥)=∫1 〖𝑥/ (𝑥^2 + 1) 𝑑𝑥〗 Let 𝑥^2 + 1=𝑡 Differentiating w.r.t.𝑥 𝑑/𝑑𝑥 (𝑥^2+1)=𝑑𝑡/𝑑𝑥 2𝑥=𝑑𝑡/𝑑𝑥 d𝑥=𝑑𝑡/2𝑥 Putting Values of 𝑥^2+1=𝑡 & 𝑑𝑥=𝑑𝑡/2𝑥 ∫1 〖 (𝑥 𝑑𝑥)/ (𝑥^2 + 1)=∫1 〖𝑥/𝑡 𝑑𝑡/2𝑥〗〗 =1/2 ∫1 𝑑𝑡/𝑡 =1/2 𝑙𝑜𝑔|𝑡| =1/2 𝑙𝑜 XDX ( XDX ) Price INR Today is ₹0.0302. News, predictions, charts, market cap, buy, sell, convert, and invest on the most trusted platform for crypto. Free integral calculator - solve indefinite, definite and multiple integrals with all the steps. Type in any integral to get the solution, steps and graph