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Evaluate the following integrals: inte...

Evaluate the following integrals:
`inte^(2x)((1+sin2x)/(1+cos2x))dx`

A

`-(1)/(a)e^(2ax)cos((pi)/(4)+ax)+C`

B

`-(1)/(2a)e^(2ax)cot((pi)/(4)+ax)+C`

C

`-(1)/(2a)e^(2ax)cos((pi)/(4)+ax)+C`

D

`-(1)/(a)e^(2ax)"cosec"((pi)/(4)+ax)+C`

Text Solution

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The correct Answer is:
B
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-MOCK TEST 3-MCQS
  1. The values of theta in (0,(pi)/(2)) satisfying

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  2. If A,B,C,D are (2,3,-1),(3,5,-3),(1,2,3),(3,5,7) respectively, then th...

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  3. If sinA+cosB=a and sinB+cosA=b then sin(A+B)=

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  4. The value of f(0), so that the function f(x)=(sqrt(a^2-a x+x^2)-sqrt(...

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  5. In a class, there are 10 boys and 8 girls. When 3 students are selecte...

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  6. The value of f(0), so that the function f(x)=(1-cos(1-cosx))/(x^(4...

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  7. If y=sinx and u=cosx, then (dy)/(du) is equal to

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  8. If the line joining the points (0,3)a n d(5,-2) is a tangent to the cu...

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  9. Evaluate the following integrals: inte^(2x)((1+sin2x)/(1+cos2x))dx

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  10. If a particle is moving the velocity v(t)=cos pit, along a straight li...

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  11. If g(1)=g(2), then int(1)^(2)[f{g(x)}]^(-1)f'{g(x)}g'(x)dx is equal to

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  12. If X and Y are two non-empty sets where f: X->Y,is function is define...

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  13. Let X be a random variable which assumes values x1, x2, x3,\ x4 such t...

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  14. The solution of dy/dx+x=xe^((n-1)y)

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  15. Let X denote the number of times heads occur in n tosses of a fair coi...

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  16. If the mean and the variance of a binomial variable X are 2 and 1 resp...

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  17. If m is the slope of the tangent to the curve e^(y)=1+x^(2) , then

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  18. The differential equation of all circles passing through the origin...

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  19. If a1,a2,a3, ,an are in A.P., where ai >0 for all i , show that 1/(sqr...

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  20. If a square matrix A is such that "AA"^(T)=l=A^(T)A, then |A| is equal...

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