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int((1+(log)e x)^2)/(1+(log)e x^(x+1)+((...

`int((1+(log)_e x)^2)/(1+(log)_e x^(x+1)+((log)_e x^(sqrt(x)))^2)dx=` `"ln"(1+xlnx)+c` `"ln"(1-xlnx)+c` `"ln"(1+lnx)+c` (d) `ln(ln(edotx^x))+c`

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RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. int2^4((log)x2-(((log)2 2)^2)/(ln2))dx= 0 (b) 1 (c) 2 (d) 4

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  2. Let x(1) and x(2) be the roots of the eqiation x^(2)-3x+A=0 and let x(...

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  3. int((1+(log)e x)^2)/(1+(log)e x^(x+1)+((log)e x^(sqrt(x)))^2)dx= "ln"...

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  4. If nine arithmetic means and nine harmonic means are inserted between ...

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  5. Let ABC be an isosceles triangle with base BC. If r is the radius of t...

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  6. int1/(1+sqrt(x))"dx" is equal to 2sqrt(x)+2ln|1+sqrt(x)|+c b. 2sqrt(x...

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  7. Number of natural numbers between 100 & 1000 such that at least one of...

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  8. Find the solutions of the equation, (log)(sqrt(2)sin"x")(1+cosx)=2, in...

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  9. Let vec a ,\ vec b ,\ vec c be three unit vectors such that | vec a...

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  10. A person throws dice, one the common cube and the other reglowest tera...

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  11. If atanA+btanB=(a+b)tan((A+B)/2) prove that triangle ABC is isosceles.

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  12. If vec a , vec b , vec c are unit vector, prove that | vec a- vec b|^...

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  13. A bag contains 50 tickets numbered 1, 2, 3, .., 50 of which five are d...

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  14. The probability of choosing a number divisible by 6 or 8 from among 1 ...

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  15. Two fair dice are rolled together, one of the dice showing 4, then the...

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  16. Number of ways in which 5 colours be selected out of 8 different colou...

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  17. If vec b is a vector whose initial point divides thejoin of 5 hat i...

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  18. In a A B C(b csin^2A)/(cos A+cosB cos C) is equal to b^2+C^2 b.b c ...

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  19. If H is the othrocenter of an acute angled triangle ABC whose circumci...

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  20. If f: RvecR and g: RvecR are defined by f(x)=2x+3a n dg(x)=x^2+7, then...

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