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Some standard forms of integration : i...

Some standard forms of integration :
`intsinxsqrt(4-cos^(2)x)dx=..........+c`

A

`-(cosx)/(2)sqrt(4-cos^(2)x)+2log|x+sqrt(4-cos^(2)x)|`

B

`-(cosx)/(2)sqrt(4-cos^(2)x)+2sin^(-1)((cosx)/(2))`

C

`-(cosx)/(2)sqrt(4-cos^(2)x)-2sin^(-1)((cosx)/(2))`

D

`(cosx)/(2)sqrt(4-cos^(2)x)+2sin^(-1)((cosx)/(2))`

Text Solution

Verified by Experts

The correct Answer is:
C
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KUMAR PRAKASHAN-INTEGRALS -MULTIPLE CHOICE QUESTIONS(MCQS)
  1. Some standard forms of integration : intsqrt(1-4x-x^(2))dx=.......+c

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  2. Some standard forms of integration : intsqrt(3-x^(2))dx=...............

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  3. Some standard forms of integration : intsinxsqrt(4-cos^(2)x)dx=........

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  4. Some standard forms of integration : intsqrt(x^(2)+7)dx=..........+C

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  5. Definite integration as the limit of a sum : lim(ntooo)sum(r=1)^(n)(...

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  6. Definite integration as the limit of a sum : lim(ntooo)(1^(p)+2^(p)+...

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  7. Definite integration as the limit of a sum : lim(ntooo)sum(r=1)^(4n)...

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  8. Definite integration as the limit of a sum : lim(ntooo)sum(k=0)^(n)(...

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  9. Definite integration as the limit of a sum : lim(ntooo)[(1)/(n^(2))s...

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  10. Definite integration as the limit of a sum : lim(ntooo)sum(K=1)^(n)(...

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  11. Definite integration as the limit of a sum : lim(ntooo)[(n)/(1+n^(2)...

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  12. Definite integration as the limit of a sum : lim(ntooo)[(1)/(n)+(1)/...

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  13. Definite integration as the limit of a sum : lim(ntooo)(1)/(n)+(1)/(...

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  14. Definite integration as the limit of a sum : lim(ntooo)[(n!)/(n^(n)...

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  15. Definite integration as the limit of a sum : lim(ntooo)(1)/(n)sum(r...

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  16. Definite integration as the limit of a sum : lim(ntooo)[(1)/(n)+(n^(...

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  17. Definite integration as the limit of a sum : lim(ntooo)[(1+(1)/(n^(2...

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  18. Fundamental theorem of definite integral : If I(n)=int(0)^(pi/4)tan^...

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  19. Fundamental theorem of definite integral : f(x)=int(2)^(x)(dt)/(sqrt...

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  20. Fundamental theorem of definite integral : f(x)=int(1)^(x)sqrt(2-t^(...

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