The area bounded by curve y=e x x and y= x e x is –

Mathematics · JEE Advanced · NTA Exams — Integral Calculus

1. \(\frac{e^{2}-5}{4 e}\)
2. \(\frac{e^{2}+5}{4 e}\)
3. \(\frac{e^{2}}{4}-\frac{5}{e}\)
4. None of these

Answer

(A) e^ 2 -5 4 e

Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.

Related practice questions

• For any integer n , the integral _ 0 ^ e^ ^ 2 x ^ 3 (2 n+1) x d x has the value
• _ 1 / e ^ x t 1+t^ 2 d t+ _ 1 / e ^ x dt t (1+t^ 2 ) =
• If I_ n = _ - ^ n x (1+ ^ x ) x d x, n=0,1,2, . , then
• Let g(x)= _ 0 ^ x f(t) d t , where f is such that 1 2 f(t) 1 for t [0,1] and 0 f(t) 1 2 for t [1,2] then g…
• Let g(x) be an antiderivative of f (x). Then ln (1+(g(x)) 2 ) is an antiderivative for :
• If f(x)= _ ^ 2 / 16 ^ x^ 2 x t 1+ ^ 2 t d t then f^ ( ) is equal to
• Let F ( x ) be an indefinite integral of sin 2 x . Statement-1 : The function F ( x ) satisfies F ( x + π) =…
• If y= x^ 2 -x+1 and for n > 1, I_ n = x^ n / y d x and aI 3 + bI 2 + cI 1 = x 2 y, then (a, b, c) is equal to

More Integral Calculus questions · Browse all practice questions