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If int0^a1/(4+x^2)dx=pi/8 , find the val...

If `int_0^a1/(4+x^2)dx=pi/8` , find the value of `adot`

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RD SHARMA ENGLISH-DEFINITE INTEGRALS-All Questions
  1. If int0^a3x^2dx=8,\ write the value of ' a^(prime)dot

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  2. If (x)=int0^x tsint\ dt ,\ then write the value of f^(prime)(x)

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  3. If int0^a1/(4+x^2)dx=pi/8 , find the value of adot

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  4. The value of int-2^2 (ax^3+bx+c)dx depends on (A) the value of b (B) t...

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  5. If [dot]a n d\ {dot} denote respectively the greatest integer and frac...

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  6. If [dot]a n d\ {dot} denote respectively the greatest integer and frac...

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  7. If [dot]a n d\ {dot} denote respectively the greatest integer and frac...

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  8. If [dot]a n d\ {dot} denote respectively the greatest integer and frac...

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  9. If [dot]a n d\ {dot} denote respectively the greatest integer and frac...

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  10. If [dot]a n d\ {dot} denote respectively the greatest integer and frac...

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  11. If [dot]a n d\ {dot} denote respectively the greatest integer and frac...

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  12. If [dot]a n d\ {dot} denote respectively the greatest integer and frac...

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  13. The value of int0^(pi//2)(sqrt(cosx))/(sqrt(cos x)+sqrt(sin x))dx is p...

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  14. int0^pi1/(1+sinx)dx equals a. 0 b. 1//2 c. 2 d. 3//2

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  15. int0^oo1/(1+e^x)dx equals a. log2-1 b. log2 c. log4-1 d. log2

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  16. The value of int0^(2pi)sqrt(1+sin (x/2)dx is a. 0 b. 4 c. 2 d. 8

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  17. int0^(pi^2//4)(sinsqrt(x))/(sqrt(x))dx equals a. pi^2//8 b. pi//4 c. 2...

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  18. int0^(pi//2)1/(2+cos\ x)dx equals a. 1/3tan^(-1)(1/(sqrt(3))) b. 2/(sq...

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  19. 36/piint(pi//6)^(pi//3)(dx)/(1+sqrt(cotx)) equals to

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  20. Given that int0^oo(x^2)/((x^2+a^2)(x^2+b^2)(x^2+c^2))dx=pi/(2(a+b)(b+c...

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