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 )
In the indefinite integral, what’s the integration of (e^x)/x ?
(e^x)/x has no elementary derivative -- you can try integration by parts but you won't get anywhere. so mathematicians have made up a special function called the exponential integral, Ei(x), which is defined as: Ei(x) = integral, from -infinity to x, of (e^t / t) dt You cannot solve this explicitly (analytically). However, you can do it in terms of power series! Recall that e^x = ∑ xⁿ/n!,so e^x / x = 1/x + ∑ xⁿ / (n+1)!. Therefore, ∫e^x / x dx = ln|x| + ∑ xⁿ / (n·n!) + C.
Post Question
Dear , Preparing for entrance exams? Register yourself for the free demo class from askiitians.
points won -