Definite Integration questions
424 published questions with worked solutions.
- What is the value of _ - /4 ^ /4 ( x- x) ,dx?
- If _ a ^ b x^3 ,dx=0 and _ a ^ b x^2 ,dx= 2 3 , then what are the values of a and b respectively?
- What is _ 0 ^ 1 x(1-x)^9 ,dx equal to?
- What is _ a ^ b [x] ,dx+ _ a ^ b [-x] ,dx equal to, where [.] is the greatest integer function?
- What is _ 2 ^ 8 |x-5| ,dx equal to?
- What is _ -1 ^ 1 d dx ( ^ -1 1 x ) dx equal to?
- What is _ 0 ^ 1 ( 1 x -1 )dx equal to?
- If _ 0 ^ /2 ( ^4x+ ^4x) ,dx=k, then what is the value of _ 0 ^ 20 ( ^4x+ ^4x) ,dx?
- What is _0^ 8 | x| ,dx equal to?
- What is _ -1 ^ 1 (3 x- 3x) ^2x ,dx equal to?
- Let p= _ a ^ b f(x) ,dx and q= _ a ^ b |f(x)| ,dx. If f(x)=e^ -x , then which one of the following is correct?
- What is _ 0 ^ 2 a+ x 2a+ x+ x ,dx equal to?
- What is _ n ^ n+1 (x-[x]) ,dx, where [ ] is the greatest integer function and n is natural number?
- If I_1= _ e ^ e^2 dx x and I_2= _ 1 ^ 2 e^x x ,dx, then which one of the following is correct?
- If f(x+y)=f(x)+f(y), then what is _ -1 ^ 1 f(x) ,dx equal to?
- What is _0^a f(a-x) f(x)+f(a-x) ,dx equal to?
- If _0^a[f(x)+f(-x)] ,dx= _ -a ^ag(x) ,dx then what is g(x) equal to?
- If f(x) satisfies f(1)=f(4), then what is _1^4f'(x) ,dx equal to?
- What is _0^ ( x 2 )dx equal to?
- If _ -2 ^0f(x) ,dx=k, then _ -2 ^0|f(x)| ,dx is
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