Home
Class 12
MATHS
Letf(theta) =int(0)^(1) (x+ sin theta )^...

Let`f(theta) =int_(0)^(1) (x+ sin theta )^(2) dx and g(theta)=int_(0)^(1)(x+ cos theta )^(2) dx`
where ` theta in [0,2 pi]`. The quantity `f (theta) -g(theta), AA theta ` in the interval given in column I, is

Text Solution

Verified by Experts

The correct Answer is:
`(A) rarr(q),(B) rarr(r),(C) rarr(s),(D) rarr(p)`
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|5 Videos

  • DEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|38 Videos

  • DEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|17 Videos

  • COORDINATE SYSTEM AND COORDINATES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|7 Videos

  • DETERMINANTS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|18 Videos

Similar Questions

Explore conceptually related problems

int_(0)^(2pi) (sin 2 theta)/(a-b cos 2 theta )d theta =

int _(0)^(pi//4) ( 4 sin 2 theta d theta )/(sin^(4) theta +cos^(4) theta )=

int _(0) ^(pi) sin ^(2) theta cos theta d theta

int_ (0) ^ (pi / 2) ((theta) / (sin theta)) ^ (2) d theta =

int_(0)^( pi/2) sin^(2)theta cos theta d theta

Find the number points where f (theta) = int _(-1)^(1) (sin theta dx )/(2x cos theta + x ^(2)) is discontinous where thetain [0, 2pi].

int_ (0) ^ (2 pi) e ^ (cos theta) cos (sin theta) d theta

int_(0)^(pi//2) (sin^(2)theta)/ (1+cos theta)^(2) d theta =