Click to Chat
1800-1023-196
+91-120-4616500
CART 0
Use Coupon: CART20 and get 20% off on all online Study Material
Welcome User
OR
LOGIN
Complete Your Registration (Step 2 of 2 )
The integral of the given expression(xm +mx )÷(m-x) is-
The above function cannot be integrated because there are important restriction on antiderivatives that can be expressed as elementary functionsAccording to the Liouville's theorem for differential algebra:-The antiderivatives of certain elementary functions cannot themselves be expressed as elementary functions. A standard example of such a function is e^{{-x^{2}}}, whose antiderivative is (with a multiplier of a constant) the error function, familiar from statistics. Other examples include the functions {\frac {\sin(x)}{x}} and x^{x}.Liouville's theorem states that elementary antiderivatives if they exist, must be in the same differential field as the function, plus possibly a finite number of logarithms.Hope it helps.
Find solution of question on doubt solving app Instasolv
Post Question
Dear , Preparing for entrance exams? Register yourself for the free demo class from askiitians.
points won -