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int (0)^sqrt(2)[x^(2)] dx बराबर है...

` int _(0)^sqrt(2)[x^(2)] dx` बराबर है

A

`sqrt(2) - 1 `

B

`2 ( sqrt(2) - 1)`

C

` sqrt(2)`

D

इनमे से कोई नहीं

लिखित उत्तर

Verified by Experts

The correct Answer is:
A
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ALLEN HINDI-DEFINITE INTEGRATION-Exercise - 05 A
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  2. int ( pi) ^( 10 pi) | sin x| dx =

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  3. int (0)^sqrt(2)[x^(2)] dx बराबर है

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  4. lim ( n to infty) ( 1 ^(p) + 2^(p) + 3^(p) + . . . . + n^(p))/( n^(p +...

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  5. माना d/(dx)f(x) = (e^(sinx))/x , x gt 0 यदि int(1)^(4)3/x e^(sin x^(3...

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  6. यदि f(a + b - x) = f(x), तो int(a)^(b) x f (x) dx बराबर है:

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  7. int(0)^(1)x(1-x)^(n)dx का मान है -

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  8. lim(xto 0)((int(0)^(x^(2))sec^(2)t dt)/(x sin x)) का मान है

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  9. lim ( n to infty) ((1)^(4) + 2^(4) + 3^(4 + . . . . + n^(4)))/(n^(5))...

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  10. यदि f(y)=e^(y),g(y)=y,y gt0 तथा f(t)=int(0)^(t)f(t-y)*g(y)dy, तब

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  11. माना f(x) एक फलन इस प्रकार है कि f'(x)=f(x) तथा f(0)=1 तथा g(x) एक फ...

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  12. lim(nto oo)sum(r=1)^(n)1/n e^(r//n) का मान है

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  13. int (- 2) ^(3) | 1 - x ^(2) | dx का मान है -

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  14. I = int (0) ^( pi // 2) (( sin x + cos x )^(2))/( sqrt(1 + sin 2 x ))d...

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  15. यदि int (0) ^(pi) x f (sin x) dx = A int (0) ^( pi // 2) f ( sin x) d...

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  16. यदि f(x)=(e^x)/(1+e^x),I(1)= int(f(-a))^(f(a)) x g{x(1-x)}dx और I(2) =...

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  17. मान ज्ञात कीजिए : Lim(ntooo) [(1)/(n^(2))sec ^(2)"" (1)/(n^(2))+(2)/...

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  18. यदि I(1) = int(0)^(1)2^(x^2)dx, I(2) = int(0)^(1)2^(x^3)dx, I(3) = in...

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  19. माना F:R rarrR एक अवकलनीय फलन है तथा f(2)=6, f'(2)=((1)/(48)), तब lim(...

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  20. int (-pi)^(pi) (cos^(2)x)/(1+a^(x)) dx, a gt 0

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