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What is the area bounded by y = tan x, ...

What is the area bounded by `y = tan x, y = 0` and `x =pi/4` ?

A

`ln 2` square units

B

`(ln2)/(2)` square units

C

`2(ln) 2` square units

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Required area ` = int_(0)^(pi/4) tan dx`
`= ln|secx|_(0)^(pi/4) = lnsqrt(2) = (ln2)/2`
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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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