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RESONANCE DPP-INTEGRALS-All Questions
- 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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- If In=intsin^n xdx ; n in N , then 5I4-6I6 is equal to 1.sinx(co...
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- If Im=int1^e (lnx)^m dx ,m in N , then I(10)+10 I9 is equal to (A) ...
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- int(xdx)/(sqrt((1+x^2)+sqrt((1+x^2)^3)))= (a) 1/2ln(1+sqrt(1+x^2))+...
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- The value of int(-2pi)^(5pi)cot^(-1)(tanx)dxi se q u a lto (7pi)/2 (...
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- int((1+(log)e x)^2)/(1+(log)e x^(x+1)+((log)e x^(sqrt(x)))^2)dx=
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- intsqrt(1+2cotx(cotx+cos e cx))dx is equal to (A) 2I n(cos x/2)+c (B...
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- int0^pisin^3theta(1+2costheta)(1+costheta)^2 d theta is equal to (a...
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- For Un=int0^1x^n(2-x)^n dx ; Vn=int0^1x^n(1-x)^ndxn in N , which ...
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- Evaluate int(x+2)/((x^2+3x+3)sqrt(x+1))dx
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- int(cos^3x)/(sqrt(sin^7x))dx= 2/5dotcos e c^(7/2)x+2sqrt(cose c x)+c...
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- int0^9{sqrt(x)}dx , where {x} denotes the fractional part of x , is 5 ...
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- The value of int(-(pi/4)^(1/3))^((pi/4)^(1/3))(x^2)/((1+sin^2x^3)(1+e...
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- If int0^1tan^(-1)xdx=alpha,t h e nint0^(pi/4)tan^(-1)((2cos^2theta)/(...
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- If f is a function with period P, then inta^(a+p)f(x)dx is equal to...
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- The value of int1^(e^(37))(pisin(piI nx))/xdx is 2 (b) 4 (c) e^(27)...
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- 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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- 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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- 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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- 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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