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What is the area between the curve y =...

What is the area between the curve
`y = cos 3x, 0 le x le pi/6` and the co-ordinate axes ?

A

1 square unit

B

1/2 square unit

C

1/3 squre unit

D

1/4 square unit

Text Solution

Verified by Experts

The correct Answer is:
C
Required Area `= int_(0)^(pi//6) cos 3x dx`
`= (sin3x)/(3)|_(0)^(pi/6) = (sin3(pi/6))/(3) - sin 0`
`= 1/2 sin 'pi/2 - 0 = 1/3 (1) = 1/3` sq. unit.
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NDA PREVIOUS YEARS-DEFINITE INTEGRATION & ITS APPLICATION-DIRECTIONS
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  4. What is int(-pi/2)^(pi/2) x sinx dx equal to ?

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  5. What is int(0)^(pi/2) ln(tanx) dx equal to ?

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  6. Find the area of the parabola y^2=4a xbounded by its latus rectum.

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  7. Consider I = int(0)^(pi) (xdx)/(1+sinx) What is I equal to ?

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  8. Consider I = int(0)^(pi) (xdx)/(1+sinx) What is int(0)^(pi)((pi-x)...

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  9. Consider I = int(0)^(pi) (xdx)/(1+sinx) What is int(0)^(pi) (dx)/(1...

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  10. Consider is int(0)^(pi//2) ln (sinx)dx equal to ? What is int(0)^(pi...

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  11. Consider is int(0)^(pi//2) ln (sinx)dx equal to ? What is int(0)^(pi...

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

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

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

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

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

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

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