Let d d x F(x) = ( e^ x x ), x>0 . If _ 1 ^ 4 3 x e^ x^ 3 d x=F(k)-F(1) , then one of the…
Mathematics · JEE Main · NTA Exams — Integral Calculus
Let \(\frac{d}{d x}\{F(x)\}=\left(\frac{e^{\sin x}}{x}\right), x>0 \text {. If } \int_{1}^{4} \frac{3}{x} e^{\sin x^{3}} d x=F(k)-F(1)\), then one of the possible value of k is
- 15
- 16
- 63
- 64
Answer
(C) 63
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- 1+ ( x 4 ) d x is equal to
- ( x +1)- x x ( x +1) d x is equal to
- The value of the integral _ 0 ^ e^ [n s^ 2 x . ^ 3 (2 n+1) x d x, n E I , is
- Let f be a non-negative function defined on the interval [0, 1]. If _ 0 ^ x 1- (f^ (t) )^ 2 d t= _ 0 ^ x f(t)…
- If f^ (x)= ^ -1 ( x+ x),- 2 <x< 2 , and f(0) = 0, then f(1) is equal to:
- Let function F be defined as F(x)= _ 1 ^ x e^ t t dt, x > 0 then the value of the integral _ 1 ^ x e ^ t t +…
- The value of _ 0 ^ 2 d x 1+ ^ 3 x is,
- The value of _ 0 ^ -1 ( 2 x-1 1+x-x^ 2 ) d x is,
More Integral Calculus questions · Browse all practice questions