#### Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Click to Chat

1800-5470-145

+91 7353221155

CART 0

• 0
MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping

# The integral of the given expression(xm +mx )÷(m-x) is-

Tech Xposed
37 Points
3 years ago
The above function cannot be integrated because there are important restriction on antiderivatives that can be expressed as elementary functions
According 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.