Home
Class 12
MATHS
If int(0)^(pi) (|cos x|)^(3) dx = (k +1)...

If `int_(0)^(pi) (|cos x|)^(3) dx = (k +1)/k`, where `k gt 0`, then the value of k is:

Text Solution

Verified by Experts

The correct Answer is:
3
Promotional Banner

Topper's Solved these Questions

  • NTA TPC JEE MAIN TEST 64

    NTA MOCK TESTS|Exercise MATHEMATICS |27 Videos

  • NTA TPC JEE MAIN TEST 66

    NTA MOCK TESTS|Exercise MATHEMATICS|30 Videos

Similar Questions

Explore conceptually related problems

If int_(0)^( pi)|2sin x+3cos x|dx=sqrt(k) where k in N, then find the value of k.

If int_(0)^(npi) f(cos^(2)x)dx=k int_(0)^(pi) f(cos^(2)x)dx , then the value of k, is

Two parallel chords of a circle of radius 2 are at a distance sqrt3 + 1 apart. If the chord subtend angles (pi)/(k) and (pi)/(2k) at the center, where k gt 0 , then the value of [k] is _____

If int_(0)^(pi/2)(dx)/(3cosx + 5) = k cot^(-1) 2 , then what is the value of K ?

If= int_(0)^(pi//2) sin x . log (sin x ) dx = log ((K)/(e)). Then, the value of K is ….

If int_(0)^(a) sqrt((a-x)/(x)) dx = (k)/(2) ,then k = …..

If int ("In"(cotx))/(sinx cos x) dx=(-1)/(k)"In"^(2)(cotx)+C (where C is a constant), then the value of k is :

If int_(0)^(1)(tan^(-1)x)/(x)dx=k int_(0)^( pi/2)(x)/(sin x)dx then the value of k is

NTA MOCK TESTS-NTA TPC JEE MAIN TEST 65-MATHEMATICS
  1. If f(x) = sqrt(1- sqrt(1-x^(2)), then at x = 0

    Text Solution

    |

  2. The population of a country increases at the rate proportional to the ...

    Text Solution

    |

  3. int (x^(2)-2)/(x^(3)sqrt(x^(2)-1)) dx is equal to:

    Text Solution

    |

  4. Slope of normal to the ellipse at a point P is 3/4and eccentricity of ...

    Text Solution

    |

  5. If alpha + sin beta = 2018, alpha + 2018 cos beta = 2017, beta , then ...

    Text Solution

    |

  6. The values of tan^(-1) (9/19) + tan^(-1) (9/49) + tan^(-1)(9/97) equal...

    Text Solution

    |

  7. If from a pack of 52 well shuffled cards, cards are drawn one by one w...

    Text Solution

    |

  8. Let f(x) = g(1)x^(2) + xg'(x) + g''(x) and g(x) =x^(2) + xf'(1) + f''(...

    Text Solution

    |

  9. The mean and median of 100 items are 50 and 52 respectively with large...

    Text Solution

    |

  10. Which of the following is equivalent to p vee -(p to q), where p & q...

    Text Solution

    |

  11. A possible value of for which the system of equations 2x - 3y + 6z -...

    Text Solution

    |

  12. If Pn denotes the product of all the coefficient in the expansion of (...

    Text Solution

    |

  13. If a and £ are the roots of the quadratic equation. x^(2) - a(x+1) - b...

    Text Solution

    |

  14. The tangent at a point on the hyperbola x^(2)/a^(2) - y^(2)/b^(2) =1 m...

    Text Solution

    |

  15. If the angle between the line joining the points (3, -1) & (4, -2) and...

    Text Solution

    |

  16. Consider the curve 4/(cos x + 1/(1- cos x), where x in (-pi/2, 0) cup ...

    Text Solution

    |

  17. The value of lim(x to infty) (sqrt(3x^(2) + sqrt(3x^(2) + sqrt(3x^(2))...

    Text Solution

    |

  18. If int(0)^(pi) (|cos x|)^(3) dx = (k +1)/k, where k gt 0, then the val...

    Text Solution

    |

  19. If a, b, c and d are four numbers in the interval [0,pi] such that sin...

    Text Solution

    |

  20. If f(x) =x^(3) -x and phi(x) = sin 2x, then find the valu of |2f(phi ...

    Text Solution

    |