Some Properties Of Definite Integrals

%5Cint%7B%5Cfrac%7Bdx%7D%7B%7B%7Be%7D%5E%7B2x%7D%7D%2B%7B%7Be%7D%5E%7B-2x%7D%7D%7D%7D%5CRightarrow%20%5C%2C%5Cint%7B%5Cfrac%7B%7B%7Be%7D%5E%7B2x%7D%7D%7D%7B%7B%7Be%7D%5E%7B4x%7D%7D%2B1%7D%7Ddx

%3D%5Cint%7B%5Cfrac%7B%7B%7Be%7D%5E%7B2x%7D%7D%7D%7B1%2B%7B%7B(%7B%7Be%7D%5E%7B2x%7D%7D)%7D%5E%7B2%7D%7D%7D%7Ddx%2C

put

t%3D%7B%7Be%7D%5E%7B2x%7D%7D

dt%3D2%7B%7Be%7D%5E%7B2x%7D%7D%5C%2Cdx

%5CRightarrow

%5Cint%7B%5Cfrac%7Bdt%7D%7B2(1%2B%7B%7Bt%7D%5E%7B2%7D%7D)%7D%7D%3D%5Cfrac%7B1%7D%7B2%7D%7B%7B%5Ctan%20%7D%5E%7B-1%7D%7Dt%2BC

%5CRightarrow

%3D%5Cfrac%7B1%7D%7B2%7D%7B%7B%5Ctan%20%7D%5E%7B-1%7D%7D(%7B%7Be%7D%5E%7B2x%7D%7D)%2BC

Chapter Questions
1 MCQs