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int ( sin ( log x) + cos ( log x ) dx i...

`int ( sin ( log x) + cos ( log x ) dx ` is equal to

A

`sin ( log x ) + C`

B

`cos ( log x ) + C`

C

`x cos ( log x ) + C`

D

`x sin ( log x) + C`

Text Solution

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The correct Answer is:
D
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ICSE-INTEGRALS -MULTIPLE CHOICE QUESTIONS
  1. int ((tan^(-1) x )^(3))/( 1+x^(2)) dx is equal to a) 3 ( tan^(-1) x ...

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  2. inte^(3 log x ) (x^(4)+ 1) ^(-1) dx is equal to

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  3. int ( sin ( log x) + cos ( log x ) dx is equal to

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

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  5. int (f'(x))/( f(x) log(f(x)))dx is equal to

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  6. intx^(3) log x dx is equal to A) (x^(4) log x )/( 4) + C B) (x^(4))/...

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  7. int e^(x log a ) e^(x) dx is equal to A) (a^(x))/( log ae) + C B) ( e^...

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  8. int ((1-sin x )/( 1- cos x )) e^(x) dx is equal to

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  9. int((1+x+x^(2))/( 1+x^(2))) e^(tan^(-1)x) dx is equal to

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  10. If int(0)^(40) (dx)/( 2x +1) = log k, then the value of k is

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

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  12. If int(0)^(k) ( 1)/(9x^(2) + 1) dx = ( pi )/( 12) , then k is equal to

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  13. int(0)^(pi//2) ( sin x cos x )/( 1+ sin x ) dx is equal to

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  14. The value of int(pi//6)^(pi//3) (1)/( sin 2x) dx is

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  15. int(-1)^(0) (dx)/( x^(2) + 2x+ 2) is equal to

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  16. int(0)^(1) ( tan^(-1)x)/( 1+x^(2)) dx is equal to

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  17. int(0)^(1) ( dx)/( e^(x) + e^(-x)) is equal to

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  18. int(0)^(1) ( x^(4) + 1)/( x^(2) + 1) dx is equal to

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  19. int(a+c)^(b+c) f(x) dx is equal to

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  20. int(-pi//2)^(pi//2) cos x dx is equal to A) 0 B) 1 C) 2 D) 4

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