Home
Class 12
MATHS
Let f(x) = |{:(secx,cosx,sec^(2)x+cotx c...

Let f(x) = `|{:(secx,cosx,sec^(2)x+cotx cosecx),(cos^(2)x,cos^(2)x,cosec^(2)x),(1,cos^(2)x,cos^(2)x):}|` then find the value of `f_(0)^(pi//2)` f(x) dx.

A

`(15pi)/(60)`

B

`(15pi+32),(60)`

C

`-(15pi+32)/(60)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICS TIPS

    FIITJEE|Exercise ASSIGNMENT -OBJECTIVE|84 Videos

  • MATHEMATICS TIPS

    FIITJEE|Exercise ASSERTION - REASONING|8 Videos

  • MATHEMATICS TIPS

    FIITJEE|Exercise NUMERICAL DECIMAL BASED QUESTIONS|21 Videos

  • MATHEMATICS

    FIITJEE|Exercise NUMERICAL DECIMAL BASED QUESTIONS|15 Videos

  • MATRICES

    FIITJEE|Exercise NUMERICAL BASED|3 Videos

Similar Questions

Explore conceptually related problems

f(x)=|(secx,cos x,sec^2x + cot x cosecx),(cos^2x,cos^2x,cosec^2 x),(1,cos^2x,cos^2x)| then int_0^(pi/2) f(x) dx=.....

Let f(x)=det[[sec^(2)x,1,1cos^(2)x,cos^(2)x,cos ec^(2)x1,cos^(2)x,cot^(2)x]], then

Let f(x)=|sec x cos x sec^(2)x+cot x cos ecx cos^(2)x cos^(2)x cos ec^(2)x1cos^(2)x cos^(2)x Prove that int_(0)^((pi)/(2))f(x)dx=-(pi)/(4)-(8)/(15)

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

" Let " =|{:(cos x,,sin x,,cosx),( cos 2x,,sin 2x,,2cos 2x),(cos 3x,,sin 3x,,3cos 3x):}| then find the values of f(0) and f' (pi//2) .

"Let f(x) "=|{:(cos x" " sin x" " cos x),(cos 2x" "sin 2x" "2cos 2x),(cos 3x" "sin 3x" "3cos 3x):}|" Then find the vlue of "f'(0) and f'(pi//2).

"Let f(x) "=|{:(cos x" " sin x" " cos x),(cos 2x" "sin 2x" "2cos 2x),(cos 3x" "sin 3x" "3cos 3x):}|" Then find the vlue of "f'(0) and f'(pi//2).

If f(x)=cos ec(x-(pi)/(3))cos ec(x-(pi)/(6)) then the value of int_(0)^((pi)/(2))f(x)dx is

f(x)=cos^(2)x+cos^(2)(pi/3+x)-cosx*cos(x+pi/3) is

FIITJEE-MATHEMATICS TIPS-ASSIGNMENT (SECTION (I) : MCQ (SINGLE CORRECT)
  1. for A=[{:(4,2i),(i,1):}],(A-2l)(A-3l) is a

    Text Solution

    |

  2. If |(a,b,aalpha+b),(b,c,balpha+c),(a alpha+b,b alpha+c,0)|=0 then

    Text Solution

    |

  3. Let f(x) = |{:(secx,cosx,sec^(2)x+cotx cosecx),(cos^(2)x,cos^(2)x,cose...

    Text Solution

    |

  4. The square of sum of the roots of the equation x^(3)+2x^(2)+2x+1=0 equ...

    Text Solution

    |

  5. The product of all values of t , for which the system of equations (a-...

    Text Solution

    |

  6. The coefficient of x^(p)" in"(1+x)^(p)+(1+x)^(p+1)+…+(1+x)^(n), p lt...

    Text Solution

    |

  7. 2C0+2^2/2 C1+2^3/3 C2+.............+2^11/11 C10 =?

    Text Solution

    |

  8. The coefficient of x^(53) in the expansion sum(m=0)^(100)^(100)Cm(x-3)...

    Text Solution

    |

  9. If x^(2)+ax+b=0 and x^(2)+bx+a=0,(a ne b) have a common root, then a+b...

    Text Solution

    |

  10. Find the coefficients of x^(50) in the expression (1+x)^(1000)+2x(1+x)...

    Text Solution

    |

  11. Let R=(5sqrt(5)+11)^(2n+1)a n df=R-[R]w h e r e[] denotes the greatest...

    Text Solution

    |

  12. The coefficient of x^4 in the expansion of (1+x+x^2+x^3)^n is

    Text Solution

    |

  13. If (1+x)^(n) = C(0)+C(1)x + C(2) x^(2) +...+C(n)x^(n) then C(0)""^...

    Text Solution

    |

  14. (1)/(n!) +(1)/(2!(n-2)!) +(1)/(4!(n-4)!) +... is equal to

    Text Solution

    |

  15. If x + y = 1, then sum(r-0)^n r nCr x^r y^(n-r) equals

    Text Solution

    |

  16. Find the term independent of x in the expansion of (1+x+2x^3)[(3x^2//2...

    Text Solution

    |

  17. The total number of ways of selecting two numbers from the set {1,,...

    Text Solution

    |

  18. Total numbers of regions in which 'n' coplanar lines can divide the pl...

    Text Solution

    |

  19. The total number of ways of selecting 10 balls out of an unlimited num...

    Text Solution

    |

  20. n different toys have to be distributed among n children. Find the num...

    Text Solution

    |