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Consider the curves y = sin x and y = ...

Consider the curves `y = sin x` and ` y = cos x` .
What is the area of the region bounded by the above two curves and the lines `x = pi/4` and `x = pi/2` ?

A

`sqrt(2) - 1`

B

`sqrt(2) + 1`

C

`2sqrt(2)`

D

`2`

Text Solution

Verified by Experts

The correct Answer is:
C
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NDA PREVIOUS YEARS-DEFINITE INTEGRATION & ITS APPLICATION-DIRECTIONS
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  2. Consider the curves y= sin x and y = cos x. What is the area of the re...

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  3. Consider the curves y = sin x and y = cos x . What is the area of ...

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  4. Consider the integral I(m) = int(0)^(pi) (sin2mx)/(sinx ) dx, where ...

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  5. Consider the integral I(m) = int(0)^(pi) (sin2mx)/(sinx ) dx, where ...

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  6. Consider the integral I(m) = int(0)^(pi) (sin2mx)/(sinx ) dx, where ...

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  7. Consider the integral I(m) = int(0)^(pi) (sin2mx)/(sinx ) dx, where ...

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  8. The area of the figure formed by the lines ax + by +c = 0, ax - by + c...

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  9. The value of int(a)^(b) (x^(7) + sinx)/(cosx)dx where a + b = 0 i...

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  10. The value of integral underset(a)overset(b)int(|x|)/(x)dx, a lt b is :

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  11. int(0)^(2pi) sin^(5) (x/4) dx is equal to

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  12. int(-1)^(1)x|x|dx is equal to

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  13. The area bounded by the coordinate axes and the curve sqrt(x) + sqrt(y...

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  14. Consider the integrals A = int(0)^(pi) (sinxdx)/(sinx + cos x) and B...

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  15. Consider the integrals A = int(0)^(pi) (sinxdx)/(sinx + cos x) and B...

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  16. Consider the functions f(x) = g(x) and g(x) = [1/x] Where [.] is...

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  17. Consider the functions f(x) = g(x) and g(x) = [1/x] Where [.] is...

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  18. What is int(-2)^(2) xdx -int(-2)^(2) [x]dx equal to , where [.] ...

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  19. If int(-2)^(5) f(x) dx = 4 and int(0)^(5) {1+f(x)}dx = 7, then what is...

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  20. What is int(0)^(4pi) |cos x| dx equal to ?

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