Indefinite Integration questions
503 published questions with worked solutions.
- ^ -3 7 x ^ -11 7 x ,dx =
- e^ ^ -1 x 1+x^2 [ ( ^ -1 1+x^2 )^2 + ^ -1 ( 1-x^2 1+x^2 ) ]dx, where x > 0 is
- x^3 - 7x + 6 x^2 + 3x ,dx =
- If f(x)= ^2 x 1+ ^x , then (f(x)+f(-x) )dx is equal to
- If dx ^3x 2 2x =( x)^A+C( x)^B+k where k is a constant of integration, then A + B + C equals
- The integral 2x^3-1 x^4+x dx is equal to
- If f(x) = ^ -1 x 1-x^2 and g(x) = e^ ^ -1 x , then the value of f(x)g(x) ,dx = ...
- If 3x+7 x^2-3x+2 ,dx = m ( x-2 x-1 ) + n (x-2) + c, where m, n R and c is an integration constant, then m + n =
- If f(x) ,dx = g(x) then x^3 f(x^2) ,dx is equal to
- If x 4x ,dx = | 1+ x 1- x | + | 1+ 2 x 1- 2 x | + c, then the value of 32( + ^2) =
- The function f(x)= x+3 x^2-9x+20 dx, then f(x) is
- If f'(x)= ( x+1)e^ x x and f(0)=e then f(1)= ..........
- x^3 x ,dx=
- The value of 2x^ 1/3 [3] x^2 ,dx is
- The value of ^3x ( ^4x+3 ^2x+1) ^ -1 ( x+ x) dx is
- If f'(x) e^ x^2 dx=(x-1) e^ x^2 +k, where k is constant of integration, then f(x)= .
- Let f(x)=x, f_1(x)=f( x), f_2(x)=f_1( x), f_3(x)=f_2( x), and so on. Then 1 f(x) ,f_1(x) ,f_2(x) f_ 2026 (x) dx=
- If e^ x+ ^ -1 x ( x^2+2 ^2( ^ -1 x) )dx=e^ f(x) +c, then ...
- (x+1) ,dx x(1+xe^x) =..........
- The value of n cosec ^2x^n-1 x^ (1-n) dx is…
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