Indefinite Integration questions
503 published questions with worked solutions.
- If f(x)=2^x, then what is _2^ 10 f'(x) f(x) ,dx equal to?
- If (x^ 2 + 1)e^ x /(x + 1)^ 2 dx = f(x)e^ x + C, where C is a constant, then d^ 3 f/dx^ 3 at x = 1 is equal to :
- If _ 0 ^ 3 15x^ 3 / 1 + x^ 2 + (1 + x^ 2 )^ 3 dx = 2 + 3 , where , are integers, then + is equal to _____.
- For I(x) = ( ^ 2 x - 2022)/ ^ 2022 x dx, if I( /4) = 2^ 1011 , then
- _0^ 2 e^ x x ,dx is equal to
- What is (x^2) ,dx equal to?
- What is e^ x (a) ,dx equal to?
- Let I(x) = x^2(x ^2x+ x) (x x+1)^2 dx. If I(0) = 0, then I ( 4 ) is equal to-
- The integral ( ( x 2 )^x+ ( 2 x )^x ) _2xdx is equal to
- The value of the integral _ - _e2 ^ _e2 e^x ( _e (e^x+ 1+e^ 2x ) )dx is equal to :
- Let I(x) = x+7 x dx and I(9) = 12 + 7 _e7. If I(1) = +7 _e(1+2 2), then ^4 is equal to __________.
- The value of e^ - /4 + _0^ /4 e^ -x ^ 50 xdx _0^ /4 e^ -x ( ^ 49 x+ ^ 51 x)dx is :
- _0^ 6 e^ 3x +6e^ 2x +11e^x+6 dx=
- Let f(x) = dx (3+4x^2) 4-3x^2 , |x|< 2 3 . If f(0) = 0 and f(1) = 1 ^ -1 ( ), , > 0, then ^2+ ^2 is equal to _________.
- _ 3 2/4 ^ 3 3/4 48 9-4x^2 dx is equal to
- The integral 16 _1^2 dx x^3(x^2+2) is equal to
- Let f(x) = 2x (x^2+1)(x^2+3) dx . If f(3) = 1 2 ( _e5- _e6), then f(4) is equal to
- If 2x-1 dx= _e | 2x+ + 2x (1+ 1 x ) |+constant, then - is equal to________.
- Let > 0. If _0^ x x+ - x dx= 16+20 2 15 , then is equal to:
- Let F(x) be an indefinite integral of ^2x. STATEMENT-1 : The function F(x) satisfies F(x + π) = F(x) for all real x. because...
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