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If int((x^(-7/6)-x^(5/6)))/(x^(1/3)(x^2...

If `int((x^(-7/6)-x^(5/6)))/(x^(1/3)(x^2+x+1)^(1/2)-x^(1/2)(x^2+x+1)^(1/3))dx=-lambda((z^3)/3+(z^p)/2+(z^q)/r+"ln"|z-1|),w h e r ez=(x+1/x+1)^(1/6),t h e n` `lambda=6` (b) `lambda=1` (c) `p+q=3` (d) `q=r=1`

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RESONANCE DPP-INTEGRALS-All Questions
  1. 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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  2. If In=intsin^n xdx ; n in N , then 5I4-6I6 is equal to 1.sinx(co...

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

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

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

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

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

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

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

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

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

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

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

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

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  15. If f is a function with period P, then inta^(a+p)f(x)dx is equal to...

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  16. The value of int1^(e^(37))(pisin(piI nx))/xdx is 2 (b) 4 (c) e^(27)...

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  17. If int((x^(-7/6)-x^(5/6)))/(x^(1/3)(x^2+x+1)^(1/2)-x^(1/2)(x^2+x+1)^(...

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  18. int(-1)^1(x^3|x|+1)/(x^2+2|x|+1)dx=aln2+bt h e n a=2; b=1 (b) a=2; b...

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  19. int((x/e)^x+(e/x)^x)I nxdx= (a)(e/x)^x-(x/e)^x+c (b) (x/e)^x+(e/x...

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  20. Let A=int0^1(e^t)/(t+1)dt , then the value of (int0^1t e^t^2)/(t^2+1)...

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