Home
Class 12
MATHS
Let f(x) = |{:(2cos ^(2) x,,sin 2x,,-sin...

Let `f(x) = |{:(2cos ^(2) x,,sin 2x,,-sin x),(sin 2x,,2 sin^(2)x,,cos x),(sin x,,-cos x,,0):}|`.then the value of `int_(0)^(pi//2) [ f(x) +f'(x) ] dx " is "`

A

`(pi)/(2)`

B

`pi`

C

`(2pi)/(2)`

D

`2pi`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|30 Videos
  • DETERMINANTS

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|15 Videos
  • DETERMINANTS

    ARIHANT MATHS|Exercise Exercise For Session 3|13 Videos
  • DEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|37 Videos
  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|26 Videos

Similar Questions

Explore conceptually related problems

Let f(x)= |{:(cosx,sinx,cosx),(cos2x,sin2x,2cos2x),(cos3x,sin3x,3cos3x):}| then find the value of f'((pi)/(2)) .

Let f(x)=|(cos x,e^(x^2) , 2x cos^2x/2),(x^2, sec x, sinx+x^3),(1,2,x+tan x)| then the value of int_(-pi/2)^(pi/2)(x^2+1)(f(x)+f''(x))dx

Inverse of f(x) = [(cos x , sin x, 0),(-sin x, cos x, 0),(0,0,1)] is

Evaluate int_(0)^(pi)x^(2){(1+sin x)^(-2) cos x}dx

int (sin2x+2cos^2x)/(sin^2x) dx

Prove that int_(0)^(pi//2) (sin x -cos x)/(1+sin x cos x)dx = 0 .

Evaluate : int_0^(pi/2) sin^4x/(sin^4x+cos^4x)dx .

Evaluate : int_0^(pi/2) sin^4x/(sin^4x+cos^4x)dx .

Evaluate : int_0^(pi/2) sin^3x/(sin^3x+cos^3x)dx .