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If int0^xf(t) dt=x+intx^1 tf(t)dt, then ...

`If int_0^xf(t) dt=x+int_x^1 tf(t)dt,` then the value of `f(1)`

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RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. Let pn=a^(P(n-1))-1,AAn=2,3,... ,a n d l e tP1=a^x-1, where a in R^+...

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  2. A function satisfying int0^1f(tx)dt=nf(x), where x>0 is

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  3. If int0^xf(t) dt=x+intx^1 tf(t)dt, then the value of f(1)

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  4. IfIn=int0^1x^ndote^-x^2dx ,t h e n A. 2I(2016)=2015I(2014)-1/e B. ...

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  5. If f(x)=int(x^8+4)/(x^4-2x^2+2)dxa n df(0)=0,t h e n f(x) is an odd f...

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  6. The number of values of x in the interval [0,(7pi)/2] satisfying the e...

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  7. If f(x)=int0^(pi/2)ln(1+xsin^2theta)/(sin^2theta) d theta, x >= 0 the...

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  8. The term independent of x in the expansion of (x-1/x)^(4) (x+1/x)^(3) ...

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  9. The value of the definite integral int2^4x(3-x)(4+x)(6-x)(10-x)+sinx)d...

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  10. In any triangle A B C ,sumasin(B-C) in equal to a b+b c+c a b. 0 c...

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  11. Evaluate the following integral: int0^(pi//4)(s in x+cosx)/(3+s in2x)d...

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  12. In an equilateral triangle show that the in-radius and the circum-radi...

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  13. If I1=int0^1(1+x^8)/(1+x^4)dxa n dI2=int0^1(1+x^9)/(1+x^3)dx ,"t h e ...

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  14. In a bag there are 4 Red, 3 Black, 2 Green Balls are drawn one by o...

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  15. Find a continuous function f, where (x^(4)-4x^(2))lef (x) le (2x^(2)-x...

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  16. Let J=int (-1) ^(2) (cot ^(-1) ""(1)/(x )+ cot ^(-1) x ) dx, K =int (-...

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  17. If In=int0^(pi//4)tan^("n")x dx , prove that In+I(n-2)=1/(n+1)dot

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  18. Twenty coupons are numbered 1,2,3......, 20 respectively. Four coup...

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  19. If A is a square matrix of order 3, then |(A-A^T)^(105)| is equal to ...

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