Home
Class 12
MATHS
Consider the area S(0),S(1),S(2)…. bound...

Consider the area `S_(0),S_(1),S_(2)….` bounded by the x-axis and half-waves of the curve `y=e^(-x) sin x," where "x ge 0.`
The value of `S_(0)` is

A

`1/2 (1+e ^(x))`

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • AREA UNDER CURVES

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise AXERCISE (MATCHING TYPE PROBLEMS)|1 Videos

  • AREA UNDER CURVES

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise AXERCISE (SUBJECTIVE TYPE PROBLEMS)|8 Videos

  • AREA UNDER CURVES

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise AXERCISE (ONE OR MORE THAN ONE ANSWER IS/ARE CORRECT)|3 Videos

  • APPLICATION OF DERIVATIVES

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|22 Videos

  • BIONMIAL THEOREM

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise Exercise-4 : Subjective Type Problems|15 Videos

Similar Questions

Explore conceptually related problems

Prove that the areas S_(0),S_(1),S_(2) ...bounded by the x -axis and half-waves of the curve y=e^(-ax) sin betax,xge0 form a geometric progression with the common ratio r=e^(-pi alpha//beta) .

If S_(0),S_(1),S_(2),… are areas bounded by the x-axis and half-wave of the curve y=sin pi sqrt(x)," then prove that "S_(0),S_(1),S_(2),… are in A.P…

Find the area bounded by the y-axis and the curve x = e^(y) sin piy between y = 0, y = 1.

For j =0,1,2…n let S _(j) be the area of region bounded by the x-axis and the curve ye ^(x)=sin x for j pi le x le (j +1) pi The value of sum _(j =0)^(oo) S_(j) equals to :

The area bounded by the curve y = sin2x, axis and y=1, is

For j =0,1,2…n let S _(j) be the area of region bounded by the x-axis and the curve ye ^(x)=sin x for j pi le x le (j +1) pi The ratio (S_(2009))/(S_(2010)) equals :

The area bounded by the curves y=-sqrt(-x) and x=-sqrt(-y) where x,yle0

Find the area bounded by y=1+2 sin^(2)x,"X-axis", X=0 and x=pi .

Find the area bounded by the curves x+2|y|=1 and x=0 .

Find the area bounded by the curves x+2|y|=1 and x=0 .