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int (cos2theta) . log((costhet...

`int (cos2theta) . log((costheta+sintheta)/(costheta-sintheta))d theta` is equal to

A

`(costheta-sintheta)^(2)log((costheta+sintheta)/(costheta-sintheta))+C`

B

`(costheta+sintheta)^(2)log((costheta+sintheta)/(costheta-sintheta))+C`

C

`((costheta-sintheta)^(2))/(2)log((costheta-sintheta)/(costheta+sintheta))+C`

D

`(1)/(2)sin2thetalogtan((pi)/(4)+theta)-(1)/(2)logsec2 theta +C`

Text Solution

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The correct Answer is:
D
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-MOCK TEST 3-MCQS
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  2. if sqrt(x^2+y^2)=ae^(tan^-1 (y/x)) , a > 0, (y(0) > 0) then y"(0) equa...

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  3. int (cos2theta) . log((costheta+sintheta)/(costheta-sintheta...

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  4. int(pi//2)^(pi//2)(cosx)/(1+e^(x))dx is equal to

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  6. 18. The straight lines joining the origin to the points of intersectio...

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  7. The lines (x+1)/(1)=(y-1)/(2)=(z-2)/(1),(x-1)/(2)=(y)/(1)=(z+1)/(4) ar...

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  9. The solution of the differential equation {y(1+x^(-1))+siny}dx+(x+ln x...

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  10. if p implies(q ^^ r) is false, then the truth values of p, q and r ar...

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  11. Find the value of expression 1 / (cos 290^@) + 1 / (sqrt3 sin 250^@)

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  12. If In is the identity matrix of order n then (In)^(-1)=

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  13. The value of tan^(2)(sec^(-1)2)+cot^(2)(cosec^(-1)3) is

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  14. If in Delta ABC, tan.(A)/(2) = (5)/(6) = (2)/(5), then prove that a, b...

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  15. If one of the lines of the pair ax^(2)+2hxy+by^(2)=0 bisects the angle...

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  16. The values of theta in (0,(pi)/(2)) satisfying

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

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

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