Let f(x) be a function satisfying f^ ( x )=f( x ) with f(0)=1 and g(x) be a function that…

Mathematics · JEE Main · NTA Exams — Integral Calculus

1. \(e-\frac{e^{2}}{2}-\frac{5}{2}\)
2. \(e+\frac{e^{2}}{2}-\frac{3}{2}\)
3. \(e-\frac{e^{2}}{2}-\frac{3}{2}\)
4. \(e+\frac{e^{2}}{2}+\frac{5}{2}\)

Answer

(C) e- e^ 2 2 - 3 2

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

Related practice questions

• The value of _ -1 ^ 1 1+ x 1+x^ 2 d x is :
• Let f(x) be a non-negative continuous function such that the area bounded by the curve y = f(x), x-axis and…
• The area bounded by the curves y = l n x, y = l n |x|, y = | l n x| and y = | l n| x || is
• Statement - 1: The value of _ 0 ^ 2 ^ 99 x d x is 0 . Statement - 2: _ a ^ 2 a f(x) d x=2 _ a ^ a f(x) d x …
• 2 x- 2 x- d x is equal to
• Evaluate [1- ^ n-2 x ] x+ x ^ n-2 x d x .
• Let f:(0, ) R and F(x)= _ 0 ^ x f(t) d t If F [ x ^ 2 ]= x ^ 2 (1+ x ) . then f(4) equals
• If 1 [3] x+1 + x+1 d x=A-6 |(x+1)^ 1 6 +1 |+c , then A is equal to

More Integral Calculus questions · Browse all practice questions