Definite Integration questions
424 published questions with worked solutions.
- The value of _0^ | x - 2x | dx is
- _0^4|2x-5| ,dx=
- If _ /6 ^ /3 1 1+ x+ x dx= 2, then the value of _ /6 ^ /3 x 1+ x+ x dx= ________
- If _0^a(x^2+4x+1)dx=6, then the real value of a is
- The value of the integral _ - 3 ^ 3 (2x^9+3x^8-5x^7+9x^6+4x^3-x+3) x^2+3 dx is
- If f(x)= cases e^ x x, & for |x| 2 2, & otherwise cases then _ -2 ^ 3 f(x) ,dx is equal to
- If f(x) is an even function, then _ -2 ^ 2 (|x|+f(x) x )dx is
- _0^ | 2x| ,dx=
- The value of the integral _ - 2 ^ 2 ( x^2 x 1+e^x )dx is equal to ( ^2 A )-B. Then ( AB )=
- The value of integral _ -2 ^ 0 (x^ 3 +3x^ 2 +3x+3+(x+1) (x+1) )dx is equal to
- The value of integral _0^1 ^ -1 (1+x^2-x)dx is...
- _ /6 ^ /3 x- x 1+ x x dx=
- Let f(x) = x - [x] for every real number x, where [x] is integral part of x. then _ -1 ^ 1 f(x) ,dx is
- If _a^b (x^2 - x) ,dx = 18, _a^b x^3 ,dx = 0, then a + b is equal to
- The function f(x) = _0^x dt 1+ t satisfies which of the following differential equations?
- The value of _0^ 1 1+2^ x dx is _____
- _0^2|4x-5| ,dx=
- If _0^2x(2-x)^b ,dx= 32 7 , where b N then b=
- If [ ] denotes the greatest integer function, then _0^ /3 [ x] ,dx=
- The value of _ -3 ^ 3 ^7 x ^ 16 x , dx is
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