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int(0)^(pi)e^(x)cos2xdx=................

`int_(0)^(pi)e^(x)cos2xdx=.............`

A

`(1)/(5)(e^(pi/2)-1)`

B

`(1)/(5)(e-1)`

C

`(1)/(5)(e^(pi)-1)`

D

`(1)/(5)(e^(pi)-e)`

Text Solution

Verified by Experts

The correct Answer is:
C
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KUMAR PRAKASHAN-INTEGRALS -MULTIPLE CHOICE QUESTIONS(MCQS)
  1. Fundamental theorem of definite integral : If int(0)^(k)(dx)/(1+4x^(...

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  2. int(3)^(5)(t^(2))/(t^(2)-4)dx=.............

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  3. int(0)^(pi)e^(x)cos2xdx=.............

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  4. Fundamental theorem of definite integral : int(-1)^(2)sqrt(5x+6)dx=....

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  5. Fundamental theorem of definite integral : int(0)^(pi/4)(sin^(9)x)/(...

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  6. Fundamental theorem of definite integral : int(0)^(pi)sqrt(1+4sin^(2...

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  7. Fundamental theorem of definite integral : int(0)^(pi/4)tan^(100)xdx...

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  8. Fundamental theorem of definite integral : int(a)^(b)(logx)/(x)dx=.....

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  9. Fundamental theorem of definite integral : int(0)^(pi/2)(cos2x)/((si...

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  10. int(0)^(5)sqrt(25-x^(2))dx=.............

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  11. Evaluation of definite integrals by subsitiution and properties of its...

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  12. Evaluation of definite integrals by subsitiution and properties of its...

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  13. Evaluation of definite integrals by subsitiution and properties of its...

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  14. Evaluation of definite integrals by subsitiution and properties of its...

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  15. Evaluation of definite integrals by subsitiution and properties of its...

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  16. Evaluation of definite integrals by subsitiution and properties of its...

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  17. int(0)^(pi)|cosx|dx=.......... .

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  18. Evaluate the following integrals. int(0)^(2)|x^(2)+2x-3|dx

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  19. Evaluation of definite integrals by subsitiution and properties of its...

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  20. Evaluation of definite integrals by subsitiution and properties of its...

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