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inta^4{x}^([x])dx is equal to (where [.]...

`int_a^4{x}^([x])dx` is equal to (where [.] and {.} represent greatest integer function and fractional part function respectively. `(13)/(12)` (b) `1/(12)` (c) `5/(12)` (d) `(17)/(12)`

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RESONANCE DPP-INTEGRALS-All Questions
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  2. int(dx)/((x^2+4x+5)^2)i se q u a lto 1/2[tan^(-1)(x+1)+("x"+2)/("x"^...

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  3. inta^4{x}^([x])dx is equal to (where [.] and {.} represent greatest in...

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  4. int(x^(3/2)+1/(sqrt(x)))dxi se q u a lto 2/5x^(5/2)+2sqrt(x)+c (b) 5...

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  5. The value of int0^2[x+[x+[x]]]dx is (where[.] represent greatest integ...

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  6. int(-1)^3(|x|+|x-1|)dx= 7 (b) 6 (c) 9 (d) 4

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  7. int(x^6+1)/(x^2+1)dxi se q u a l (x^5)/5+(x^3)/3+x+c (b) (x^5)/5-(x^...

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  8. If In=intsin^n xdx ; n in N , then 5I4-6I6 is equal to 1.sinx(co...

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  9. If Im=int1^e (lnx)^m dx ,m in N , then I(10)+10 I9 is equal to (A) ...

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  10. int(xdx)/(sqrt((1+x^2)+sqrt((1+x^2)^3)))= (a) 1/2ln(1+sqrt(1+x^2))+...

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  11. The value of int(-2pi)^(5pi)cot^(-1)(tanx)dxi se q u a lto (7pi)/2 (...

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  12. int((1+(log)e x)^2)/(1+(log)e x^(x+1)+((log)e x^(sqrt(x)))^2)dx=

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  13. intsqrt(1+2cotx(cotx+cos e cx))dx is equal to (A) 2I n(cos x/2)+c (B...

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  14. int0^pisin^3theta(1+2costheta)(1+costheta)^2 d theta is equal to (a...

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  15. For Un=int0^1x^n(2-x)^n dx ; Vn=int0^1x^n(1-x)^ndxn in N , which ...

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  16. Evaluate int(x+2)/((x^2+3x+3)sqrt(x+1))dx

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  17. int(cos^3x)/(sqrt(sin^7x))dx= 2/5dotcos e c^(7/2)x+2sqrt(cose c x)+c...

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  18. int0^9{sqrt(x)}dx , where {x} denotes the fractional part of x , is 5 ...

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  19. The value of int(-(pi/4)^(1/3))^((pi/4)^(1/3))(x^2)/((1+sin^2x^3)(1+e...

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  20. If int0^1tan^(-1)xdx=alpha,t h e nint0^(pi/4)tan^(-1)((2cos^2theta)/(...

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