If f(x)= array ll e^ x x, & for |x| 2 2, & otherwise array . then _ -2 ^ 3 f(x) d x
Mathematics · JEE Advanced · NTA Exams — Integral Calculus
If \(f(x)=\left\{\begin{array}{ll}
e^{\cos x} \sin x, & \text { for }|x| \leq 2 \\
2, & \text { otherwise }
\end{array}\right.\)then \(\int_{-2}^{3} f(x) d x\)
- 0
- 1
- 2
- 3
Answer
(A) 0
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- The slope of the tangent to a curve y = f ( x ) at [ x , f ( x )] is 2 x + 1. If the curve passes through the…
- If I= ( 2 ) d then I equals
- If f: R R is a function satisfying the following : (i) f (– x ) = – f ( x ) (ii) f ( x + 1) = f ( x ) + 1…
- If F(x)= 1 x^ 2 _ 4 ^ x (4 t^ 2 -2 F^ (t) ) d t then F^ (4) equals –
- If the integrand is a rational function of x and fractional powers of a linear fractional function of the…
- Assertion : x^ 2 -1 x^ 2 e^ x^ 2 +1 x d x=e^ x^ 2 +1 x +c Reason : f(x) e^ f(x) d x=e^ f(x) +c
- Consider the curve defined implicity by the equation y^ 2 -2 y e^ ^ -1 x +x^ 2 -1+[x]+e^ 2 ^ -1 x =0, Where…
- The area bounded by the curve y = ( x + 1) 2 , y = ( x – 1) 2 and the line is
More Integral Calculus questions · Browse all practice questions