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If int0^x {int0^u f(t) dt}du is equal t...

If `int_0^x {int_0^u f(t) dt}du` is equal to (a) `int_0^x (x-u) f(u)` (b) `int_0^xuf(x-u)du` (c) `x int_0^x f(u) du` (d) `x int_0^x uf(u-x)du`

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int_0^x{int_0^uf(t)dx}\ du is equal to (a) int_0^x(x-u)f(u)du (b) int_0^x uf(x-u)du (c) x int_0^xf(u)du (d) x int_0^x uf(u-x)du

If f(x) is continuous for all real values of x , then sum_(r=1)^nint_0^1f(r-1+x)dx is equal to (a) int_0^nf(x)dx (b) int_0^1f(x)dx (c) int_0^1f(x)dx (d) (n-1)int_0^1f(x)dx

If f(x) is continuous for all real values of x , then sum_(r=1)^nint_0^1f(r-1+x)dx is equal to (a) int_0^nf(x)dx (b) int_0^1f(x)dx (c) int_0^1f(x)dx (d) (n-1)int_0^1f(x)dx

If f(x)=int_0^x tf(t)dt+2, then

int_0^a[f(x)+f(-x)]dx= (A) 0 (B) 2int_0^a f(x)dx (C) int_-a^a f(x)dx (D) none of these

int_0^(2a)f(x)dx is equal to a. 2int_0^af(x)dx b. 0 c. int_0^af(x)dx+int_0^af(2a-x)dx d. int_0^af(x)dx+int_0^(2a)f(2a-x)dx

If f(-x)+f(x)=0 then int_a^x f(t) dt is

If int_0^xf(t) dt=x+int_x^1 tf(t)dt, then the value of f(1)

Let f(x)=f(a-x) and g(x)+g(a-x)=4 then int_0^af(x)g(x)dx is equal to (A) 2int_0^af(x)dx (B) int_0^af(x)dx (C) 4int_0^af(x)dx (D) 0

If f(x)=int_0^x(sint)/t dt ,x >0, then

CENGAGE ENGLISH-INTEGRALS-All Questions
  1. Evaluate: int0^pi(xsin2xsin(pi/2cosx)/(2x-pi)dx

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  2. If IK=int1^e(lnx)^kdx(k in I^+)dx(k in I^+), then find the value of...

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  3. If int0^x {int0^u f(t) dt}du is equal to (a) int0^x (x-u) f(u) (b) ...

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  4. Prove that: In=int0^oox^(2n+1) e^ (-x^2) dx=(n !)/2,n in N.

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  5. The value of the integral underset(-1)overset(3 )int ("tan"^(1)(x)/(...

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  6. It is known that f(x) is an odd function in the interval [-p/2, p/2] ...

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  7. Evaluate: int(-1)^4f(x)dx=4a n dint2^4(3-f(x))dx=7, then find the val...

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  8. If int0^(pi/2)logsinthetad(theta)=k , then find the value of int0^(pi...

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  9. Evaluate: int0^(pi/2)|sinx-cosx|dx

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  10. Let f(x) is continuous and positive for x in [a , b],g(x) is continu...

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  11. Evaluate: int(-5)^5x^2[x+1/2]dx(w h e r e[dot] denotes the greatest i...

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  12. STATEMENT 1 : The value of int(-4)^(-5)sin(x^2-3)dx+int(-2)^(-1)sin(x^...

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  13. Evaluate: int0^(2pi)[sinx]dx ,where[dot] denotes the greatest inte...

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  14. STATEMENT 1 : The value of int0^1tan^(-1)((2x-1)/(1+x-x^2)) dx=0 STAT...

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  15. Evaluate: int0^oo[2e^(-x)]dx ,w h e r e[x] represents greatest int...

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  16. STATEMENT 1 : On the interval [(5pi)/4,(4pi)/3]dot the least value of ...

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  17. Evaluate: int0^(10pi)[tan^(-1)x]dx ,w h e r e[x] represents greatest ...

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  18. Consider the function f(x) satisfying the relation f(x+1)+f(x+7)=0AAx ...

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  19. Evaluate: int0^((5pi)/(12))[tanx]dx , where [dot] denotes the grea...

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  20. Consider I1=int0^(pi//4)e^(x^2)dx ,I2=int0^(pi//4)e^x dx ,I3=int0^(pi/...

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