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RESONANCE DPP-INTEGRALS-All Questions
- int(e^(3x)+e^(5x))/(e^x+c^(-x))dx i s e q u a l to 4e^(4x)+c ...
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- 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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- inta^4{x}^([x])dx is equal to (where [.] and {.} represent greatest in...
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- 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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- The value of int0^2[x+[x+[x]]]dx is (where[.] represent greatest integ...
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- int(-1)^3(|x|+|x-1|)dx= 7 (b) 6 (c) 9 (d) 4
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- 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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