Definite Integration questions
424 published questions with worked solutions.
- _0^1 8 (1+x) 1+x^2 dx=
- _ - /4 ^ /4 e^ x (x x) e^ 2x -1 dx=
- The value of _ - ^ ^2 x 1+a^x ,dx, a > 0 is
- _ -3 ^ 0 x x+4 ,dx =
- Let f: R R and g: R R be continuous functions. Then the value of the integral _ - 2 ^ 2 [f(x) + f(-x)][g(x) - g(-x)] ,dx
- _0^ x x x + x ,dx =
- The value of the integral _0^ 2 x x + x dx is
- _ 12 ^ 2 ( e^x-1 e^x+1 )dx=
- If _0^ /2 x x+ cosec x ,dx=m( +n), then (m . n) equals
- _ -1/2 ^ 1/2 ( 1 + x 1 - x )dx =
- If _0^k 1 1+4^x dx= _2 ( 43 ), then k = _____
- If _1^a (2x+1) ,dx = 5, then the sum of the values of a is..
- If [.] denotes the greatest integer function, then _1^4 x[x] ,dx is equal to
- Let f:[-1,2] [0, ) be a continuous function such that f(x)=f(1-x), x [-1,2]. Let R_1= _ -1 ^ 2 xf(x) ,dx and R_2 be the area of...
- If I= _ 0 ^ /4 (1+ x) ,dx, then value of I is
- _ 0.2 ^ 3.5 [x] ,dx= (where [x] = greatest integer not greater than x)
- _0^2[x] ,dx+ _0^2|x-1| ,dx= (where [x] denotes the greatest integer function)
- _ /4 ^ 3 /4 dx 1+ x is equal to
- _ 0 ^ 1 |5x-3| ,dx=
- _ 0 ^ /4 1- 2x ,dx=
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