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inte^(3x)cos4xdx=.........+c...

`inte^(3x)cos4xdx=.........+c`

A

`(e^(3x))/(25)(3cos4x-4sin4x)`

B

`(e^(3x))/(5)(3cos4x-4sin4x)`

C

`(e^(3x))/(5)(3cos4x+4sin4x)`

D

`(e^(3x))/(5)cos(4x-tan^(-1)""(4)/(3))`

Text Solution

Verified by Experts

The correct Answer is:
D
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KUMAR PRAKASHAN-INTEGRALS -MULTIPLE CHOICE QUESTIONS(MCQS)
  1. int(x-1)/((x+1)^(3))e^(x)dx=.......+c

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  2. If intx.e^(2x)dx=e^(2x)f(x)+c where c is arbitary constant then f(x)=…...

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  3. inte^(3x)cos4xdx=.........+c

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  4. inte^(4x)sin3xdx=......+c

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  5. inte^(x/sqrt2)cos((x)/(sqrt2))dx=......+c

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  6. intx.tan^(-1)xdx=......+c

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  7. inte^(2x)(log2x+(1)/(2x))dx=..........+c

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  8. intx^(3).e^(x^(2))dx=..........+c

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  9. Some standard forms of integration : intx^(2)sqrt(x^(6)-1)dx=.........

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

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  11. Some standard forms of integration : intsqrt(1-4x-x^(2))dx=.......+c

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

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

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

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

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

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

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

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

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

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