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The value of int(dx)/(cosx-sinx) is equa...

The value of `int(dx)/(cosx-sinx)` is equal to -

A

`(1)/(sqrt(2))"log"|tan((x)/(2)-(3pi)/(8))|+c`

B

`(1)/(sqrt(2))"log"|"cot"(x)/(2)|+c`

C

`(1)/(sqrt(2))"log"|tan((x)/(2)+(3pi)/(8))|+c`

D

`(1)/(sqrt(2))"log"|tan((x)/(2)-(pi)/(8))|+c`

Text Solution

Verified by Experts

The correct Answer is:
C
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CHHAYA PUBLICATION-MCQ ZONE -Question Paper 6
  1. The value of int(0)^(oo) (x dx)/((1+x)(1+x^(2))) is equal to -

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  2. The value of int (e^(x)dx)/((e^(x)+2)(e^(x)+1)) is equal to -

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  3. The value of int(dx)/(cosx-sinx) is equal to -

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  4. The value of int(0)^((pi)/(2)) ((sinx+cosx)^(2))/(sqrt(1+sin2x))dx is ...

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  5. If int(0)^(pi) x f(sinx) dx=A int(0)^((pi)/(2))f(sinx)dx, then the va...

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  6. The value of int ((x-x^(3))^((1)/(3)))/(x^(4)) dx is equal to -

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  7. The value of int e^(x log a)*e^(x)dx is equal to -

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  8. The value of int(-(pi)/(4))^((pi)/(4)) x^(3) sin^(4) x dx is equal to...

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  9. If f(x)=cosx-cos^(2)x+cos^(3)x-…oo, then the value of int f(x) dx is...

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  10. The value of int(0)^(1)(xdx)/((x+sqrt(1-x^(2)))sqrt(1-x^(2))) is equal...

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  11. The value of int(0)^(2a) (f(x))/(f(x)+f(2a-x))dx is equal to -

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  12. The value of int{(logx-1)/(1+(logx)^(2))}^(2)dx is equal to -

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  13. The value of int(pi)^(2pi)[ 2 cos x]dx is equal to -

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  14. The order and degree of the differential equation [1+((dy)/(dx))^(2)]...

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  15. The differential equation of the system of circles touching the y-axi...

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  16. The integrating factor of the differential equation cosx(dy)/(dx)+y si...

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  17. The general solution of y^(2)dx+(x^(2)-xy+y^(2))dy=0 is -

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  18. The general solution of the linear differential equation "cos"^(2)x (...

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  19. The value of lim(x to oo) sqrt(x)(sqrt(x+2)-sqrt(x)) is -

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  20. The differential equation obtained by eliminating constants A and B fr...

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