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I=int(e^x(1+sinx))/(1+cosx)dx is equal t...

`I=int(e^x(1+sinx))/(1+cosx)dx` is equal to

A

`e^xtan(x/2)+c`

B

`e^x/cot(x//2)+c`

C

`e^xcot(x/2)+c`

D

`e^x/tan(x//2)+c`

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A, B
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PATHFINDER-INDEFINITE INTEGRATION-QUESTION BANK
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  2. I=intcos^3(2theta)d theta is equal to

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  3. I=int(e^x(1+sinx))/(1+cosx)dx is equal to

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  4. If intsqrt((cosx-cos^3x)/((1-cos^3x)))dx=f(x)+c, then f(x) is equal to

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  5. int(dx)/(x(x^m+1)) is equal to

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  6. If intxlog(1+x^2)dx=A(x)cdotlog(1+x^2)+B(x)+c, then

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  7. int(dx)/(sinx+sqrt3cosx)

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  8. If int(sinx+sin^3x)/(cos2x)dx=lamdacosx+mulogabs(f(x))+c, then

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  9. If int (xe^x)/(sqrt(1 + e^x)) dx = f(x) sqrt(1 + e^x) - 2 In g(x) + c...

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  10. If intsin(logx)dx=f(x)(sing(x)-cosh(x))+c, then

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  11. If int sin^-1sqrt(x/(1+x))dx=f(x) sin^-1sqrt(x/(1+x))-sqrtx+ (hog)(x)+...

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  12. Let f(x) be a polynomial satisfying f(0)=2, f'(0)=3 and f''(x)=f(x). A...

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  13. Let f(x) be a polynomial satisfying f(0)=2, f'(0)=3 and f''(x)=f(x). A...

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  14. Let n be a positive interger such that In=intx^nsqrt(a^2-x^2)dx Answer...

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  15. Let n be a positive interger such that In=intx^nsqrt(a^2-x^2)dx Answer...

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  16. Match List-I with List-II

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  17. Match List - I with List-II Let the functions defined in List - I ha...

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  18. If int (sqrttanx + sqrtcotx) dx = a tan^-1 ((tan x - 1)/sqrt(b tan x))...

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  19. If int((cos8x-cos7x)/(1+2cos5x))dx=(sin3x)/a-(sin2x)/b+c then the last...

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  20. If int(1+cos8x)/(tan2x- cot2x)dx= acos8x +c, then find the value of a.

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