Home
Class 12
MATHS
Let f(x)=|(cos x,e^(x^2) , 2x cos^2x/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 `

A

1

B

`-1`

C

2

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

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

If f(x) = |{:(cos x ,e^(x^(2)),2xcos^(2)((x)/(2))),(x^(2),secx,sinx+x),(1,2,x+tanx):}| the value of f_(-pi//2)^(pi//2)(x^(2)+1) [f(x)+f''(x)]dx is

If f(x) = |(x,cos x,e^(x^(2))),(sin x,x^(2),sec x),(tan x,1,2)| , then the value of int_(-pi//2)^(pi//2) f(x) dx is equal to

Find the value of int_(-(pi)/(2))^((pi)/(2))(x^(3)+x cos x+tan^(3)x)dx

if f(x)=det[[x,cos x,e^(x^(2))sin x,x^(2),sec xsin x,x^(2),sec xtan x,1,2]] then the value of int_((-pi)/(2))^((pi)/(2))f(x)dx is equal to

If f(x)=x+sin x, then find the value of int_(pi)^(2 pi)f^(-1)(x)dx

The value of int_(-(pi)/(2))^((pi)/(2))(x^(3)+x cos x+tan^(5)x+1)dx

The value of int_(-pi//2)^(pi//2) (x^(2)cos x )/(1+e^(x)) dx is equal to

The value of the integral int_(0)^(pi//2)(f(x))/(f(x)+f(pi/(2)-x))dx is

The value of int_(-pi//2)^(pi//2)(x^(3) + x cos x + tan^(5)x + 1)dx is