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int(2-sin 2x)/(1-cos2x)e^(x) dx is equal...

`int(2-sin 2x)/(1-cos2x)e^(x)` dx is equal to

A

`-e^(x)cot x+c`

B

`e^(x)cot x+c`

C

`2e^(x)cotx+c`

D

`-2e^(x)cotx +c`

Text Solution

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The correct Answer is:
A
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  3. int(2-sin 2x)/(1-cos2x)e^(x) dx is equal to

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  4. If I(n) = int(sin^(n))dx, then nI(n)-(n-1)I(n-1) equals to

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  5. If int(e^(x))(1-sinx)/(1-cosx)dx=f(x) constant, then f(x) is equal to

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  6. If I(n)= intx^(n) e^(cx) dx for n ge 1, then c, I(n) + nI(n-1) is equa...

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  7. If inte^(x)(1+x) sec^(2)(xe^(x))dx = f(x) + constant, then f(x) is equ...

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  8. If int(e^(x)-1)/(e^(x)+1)dx = f(x)+c, then f(x) is equal to

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

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  10. int(sinx + 8 cosx)/(4 sinx + 6 cosx)dx is equal to

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  11. Assertion (A) (x^(2)-1)/(x^(2))e^(x^(2)+1)/x dx = e^(x^(2)+1)/x + c ...

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  12. If intsqrt(x/(a^(3)-x^(3)))dx = g(x)+c, then g(x) is equal to

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  13. If int(dx)/(x^(2) + 2x+2) =f(x) +c, then f(x) is equal to

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  14. If int(sinx)/(cosx(1+cosx))dx = f(x)+c, then f(x) is equal to

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  15. If int(x^(49)tan^(-1)(x^(50))/(1+x^(100)))dx = k(tan^(-1)(x^(50))^(2)+...

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  16. If int sin^(-1)(2x)/(1+x^(2))dx = f(x) - log(1+x^(2))+c, then f(x) is ...

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  17. int (dx)/((x+100)sqrt(x+99))=f(x)+c rArr f(x)=

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  18. int (3-x^(2))/(1-2x+x^(2))e^(x)dx=e^(x)f(x)+c rArr f(x)=

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  19. int (sqrt(cotx))/(sin xcos x)dx=-f (x)+c rArr f(x)=

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  20. int((1+x)+sqrt(x)*sqrt(1+x))/(sqrt(x)+sqrt(1+x))))dx is equal to

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