If y=f(x) makes positive intercept of 2 and 1 unit on x and y axes and encloses an area…
Mathematics · JEE Main · NTA Exams — Integral Calculus
If \(y=f(x)\) makes positive intercept of 2 and 1 unit on x and y axes and encloses an area of \(\frac{3}{4}\) square unit with the axes then \(\int_{0}^{2} x f^{\prime}(x) d x i 5\),
- \(\frac{3}{2}\)
- 1
- \(\frac{5}{4}\)
- \(-\frac{3}{4}\)
Answer
(D) - 3 4
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- If [x] stands for greatest integer function the value of _ 4 ^ 10 [x^ 2 ] [x^ 2 -28 x+196 ]+ [x^ 2 ] d x ,
- If f(x)=A ( x 2 )+E and f^ ( 1 2 )= 2 and _ 0 ^ 1 f(x) d x= 2 A , then constants A and B are
- Evaluate _ 0 ^ ^ 2 m x ^ 2 m+1 x d x, m Z
- x^ 3 +3 (x+1) (x^ 2 +1 ) d x equals.
- The value of the integral _ a ^ b x d x x + a+b-x is,
- If I_ n = _ 1 ^ E ( x)^ n d x , then I_ n +n I_ n-1 is
- Statement - 1: f(x) is symmetrical about x = 2, then _ 2-a ^ 2+a f(x) d x is equal to 2 _ 2 ^ 2+a f(x) d x …
- _ - 3 ^ 3 x x ^ 2 x d x is,
More Integral Calculus questions · Browse all practice questions