The area bounded by the graph of y=f(x),...

The area bounded by the graph of `y=f(x), f(x) gt0` on [0,a] and x-axis is `(a^(2))/(2)+(a)/(2) sin a +(pi)/(2) cos a ` then find the value of `f((pi)/(2))`.

`(1)/(2)`

`(1)/(3)`

None of these

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

APPLICATION OF INTEGRALS
DISHA PUBLICATION|Exercise EXERCISE-2: CONCEPT BUILDER|30 Videos
APPLICATION OF INTEGRALS
DISHA PUBLICATION|Exercise EXERCISE-2: CONCEPT BUILDER|30 Videos
APPLICATION OF DERIVATIVES
DISHA PUBLICATION|Exercise EXERCISE - 2|30 Videos
BINOMIAL THEOREM
DISHA PUBLICATION|Exercise EXERCISE-2 (CONCEPT APPLICATOR)|30 Videos

Similar Questions

Explore conceptually related problems

Let f (x) be a continous function such that the area bounded by the curve y =f (x) x-axis and the lines x=0 and x =a is (a ^(2))/( 2) + (a)/(2) sin a+ pi/2 cos a, then f ((pi)/(2)) is

If F(x)=int(x+sin x)/(1+cos x)dx and F(0)=0 then the value of f((pi)/(2)) is

If f'(x)=3x^(2)sin x-x cos x x!=0 f(0)=0 then the value of f((1)/(pi)) is

If f'(x)=3x^(2)sin x-x cos x ,x!=0 f(0)=0 then the value of f((1)/(pi)) is

If f(x) is a non - negative function such that the area bounded by y=f(x), x - axis and the lines x = 0 and x=alpha is 4alpha sin alpha+2 sq. Units ( AA alpha in [0, pi] ), then the value of f((pi)/(2)) is equal to

Let f(x)>0 be a continuous function such that the area bounded by the curve y=f(x),x -axis and the lines x=0 and x=lambda is + (lambda^(2))/(2)+cos^(2)lambda .Then f((pi)/(4)) is

The area bounded by the curve y=|cos x-sin x|,0<=x<=(pi)/(2) and above x - axis is

Let f(x)=(k cos x)/(pi-2x) if x!=(pi)/(2) and f(x=(pi)/(2)) if x=(pi)/(2) then find the value of k if lim_(x rarr(pi)/(2))f(x)=f((pi)/(2))

If F(x)=int((1+sin x)/(1+cos x))dx and F(0)=0 then the value of F(pi/2) is

A function y=f(x) satisfies f(x)=-(1)/(x^(2))-pi^(2)sin(pi x);f'(2)=pi+(1)/(2) and f(1)=0. The value of f((1)/(2))

DISHA PUBLICATION-APPLICATION OF INTEGRALS-EXERCISE-1: CONCEPT BUILDER (TOPICWISE)

Calculate the area bounded by the curve y=x(3-x)^2 the x-axis and the ...
Text Solution
|
The area of the ellipse (x^(2))/(9)+ (y^(2))/(4)=1 in first quadran...
Text Solution
|
The area bounded by the graph of y=f(x), f(x) gt0 on [0,a] and x-axis ...
Text Solution
|
The area between the curve y = 1 - |x| and the x- axis is equal to
Text Solution
|
What is the area of the parabola y^(2) = x bounde by its latus rectu...
Text Solution
|
The value of a(a >0) for which the area bounded by the curves y=x/6+1/...
Text Solution
|
The curve y = x^2 - 7x + 10 intersects the x-axis at the points A and ...
Text Solution
|
What is the area bounded by the lines x = 0, y = 0 and x + y + 2 =...
Text Solution
|
The area (in sq. units) bounded by the curve |y|=|ln|x|| and the coord...
Text Solution
|
Find the area bounded by the curve y=sin^(-1)x and the line x=0,|y|=pi...
Text Solution
|
The area of the region (in sq units), in the first quadrant, bounded b...
Text Solution
|
The area enclosed between the graph of y=x^(3) and the lines x=0, y=1,...
Text Solution
|
The area of the region bounded by the curve x=2y+3 and the lines y=1, ...
Text Solution
|
The area of the region bounded by y^2 = 2x + 1 and x - y -1=0 is
Text Solution
|
The area bounded by the curve y=[x^2/64+2],y=x-1,y=x-1 and x=0 above t...
Text Solution
|
The figure shows a DeltaAOB and the parabola y = x^(2). The ratio of t...
Text Solution
|
If the area enclosed by y^2 = 4ax and the line y=ax is 1/3 sq.units, t...
Text Solution
|
Which of the following is not the area of the region bounded by y= e^(...
Text Solution
|
Find the area of the region bounded by: the parabola y=x^2 and the li...
Text Solution
|
The area above the x-axis enclosed by the curves x^(2)-y^(2) = 0 and x...
Text Solution
|