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int(1)/(x^(2)(x^(4)+1)^(3//4))dx is equa...

`int(1)/(x^(2)(x^(4)+1)^(3//4))dx` is equal to

A

`(1 + (1)/(x ^(4))) ^(1//4) +C`

B

`(x ^(2) + 1) ^(1//4) +C`

C

`(1- (1)/( x ^(4)) ) ^(1//4) +C`

D

`-(1+ (1)/( x ^(4)) ) ^(1//4) +C`

Text Solution

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The correct Answer is:
D
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DISHA PUBLICATION-INTEGRALS -EXERCISE-1 CONCEPT BUILDER
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  2. Evaluate: int(sinx)/(sin4x)dx

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  3. int(1)/(x^(2)(x^(4)+1)^(3//4))dx is equal to

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  4. int sin 2x. Logcos x dx is equal to

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  5. If int (e ^(x) (1+ sin x )dx)/( 1+ cos x ) = e ^(x) f (x) + C, then f ...

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  6. If a (n) = int(0) ^( (pi)/(2)) (sin^(2) nx)/( sin x) dx then a (2) ...

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  7. Let I=overset(1)underset(0)int (sin x)/(sqrt(x))dx andI=overset(1)unde...

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  8. overset(pi//2)underset(-pi//2)int (|x|)/(8 cos^(2)2x+1)dxhas the value

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  9. If underset(0)overset(1)int e^(x^(2))(x-alpha)dx=0 then

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  10. The value of the integral int(0) ^(pi) cos 2 x log (e) sin x dx is

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  11. If int(1/2)^2 1/x cosec^(101)(x-1/x)dx=k then the value of k is :

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  12. The value of int-pi^pi cos^2x/[1+a^x].dx,a>0 is

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  13. The value of int(1)^(e^(37))(pi sin(pi log x))/(x)dx is ………….

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  14. Evaluate int (0)^(pi)(x)/(1+ cos^(2)x)dx.

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  15. The value of int(pi//4)^(3pi//4)(phi)/(1+sinphi)d phi is

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  16. The value of int(0) ^(1) (dx )/( e ^(x) + e) is equal to

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  17. The value of int(-1)^(3)(|x|+|x-1|) dx is equal to

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  18. The value of int(-pi) ^(pi) (sin ^(2) x)/( 1 + 7 ^(x)) dx= is equal to

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  19. int ( log 1//2 ) ^( log 2) sin { (e ^(x) -1)/( e ^(x ) +1 )}dx equals

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  20. Let f (x) = x^(2) -2. If int (3) ^(6) f (x)dx =3f (c ) for some c in (...

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