Home
Class 12
MATHS
Let I = int ((2 sin theta - ) cos theta)...

Let `I = int ((2 sin theta - ) cos theta)/(5 - cos^(2) theta - sin theta) d theta` then I is equal to : (where C is a constant of integration )

A

` 3 log_(e) (2 - cos theta) + (2)/( 2 - sin theta) + C`

B

` 2 log_(e) (2 - sin theta) + (3)/( 2 - sin theta) + C`

C

`2 log_(e) (2 + cos theta) + (2)/( 2 - cos theta) + C`

D

`2 log_(e) (2 + sin theta) + (3)/( 2 - cos theta) + C`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • JEE ( MAIN) 2020 QUESTIONS (9TH JAN-MORNING)

    MCGROW HILL PUBLICATION|Exercise JEE (Main) 2020 Questions with Solution Mathematics (9th Jan - Morning)|25 Videos

  • JEE (MAIN) 2020 QUESTION PAPER MATHEMATICS (8TH JAN - MORNING)

    MCGROW HILL PUBLICATION|Exercise QUESTIONS|25 Videos

Similar Questions

Explore conceptually related problems

int(2sin2 theta-cos theta)/(6-cos^(2)theta-4sin theta)d theta

int (sin theta cos theta) / (cos ^ (2) theta-cos theta-2) d theta

Let n ge 2 be a natural number and 0 lt theta lt (pi)/(2) , Then, int ((sin^(n)theta - sin theta)^(1/n) cos theta)/(sin^(n+1) theta)d theta is equal to (where C is a constant of integration)

int (sin theta + cos theta) * d theta

int cos2 theta * ln ((cos theta + sin theta) / (cos theta-sin theta)) d theta

int (d theta)/((sin theta - 2 cos theta)(2 sin theta + cos theta))

" (i) "(cos theta+sin theta)/(cos theta-sin theta)

int cos2 theta log((cos theta+sin theta)/(cos theta-sin theta))=

int (sin ^ (2) theta) / ((1 + cos theta) ^ (2)) d theta

MCGROW HILL PUBLICATION-JEE ( MAIN) 2020 QUESTIONS WITH SOLUTIONS B.ARCH (6TH JAN -MORING)-Question
  1. The set of all positive real values of k, for which the equation x^(3)...

    Text Solution

    |

  2. In a certain town 25% families own a phone and 15% own a car, 65% fami...

    Text Solution

    |

  3. Let I = int ((2 sin theta - ) cos theta)/(5 - cos^(2) theta - sin thet...

    Text Solution

    |

  4. ~ ( p vv q) vv ( ~ p ^^ q) is logically equivalent to

    Text Solution

    |

  5. Let X be a random variable which takes values k with the probability k...

    Text Solution

    |

  6. If f(x) = |(sin x,cos x,tan x),(x^(3),x^(2),x),(2x,1,1)|, " then " und...

    Text Solution

    |

  7. For non-zero numbers, l, m, n and a, let f(x) = lx^(3) + mx + n and ...

    Text Solution

    |

  8. Let C be the circle concentric with the circle , 2x^(2) + 2y^(2) - 6x ...

    Text Solution

    |

  9. Let S = 3 + 55 + 333 + 5555 + 33333+ upto 22 terms. If 9s + 88 = A(10...

    Text Solution

    |

  10. If x = e^(t) sin t and y = e^(t) cos t, t is a parameter , then the ...

    Text Solution

    |

  11. If a ellipse has centre at (0,0), a focus at (-3,0) and the correspond...

    Text Solution

    |

  12. If the roots alpha and beta of the equation , x^(2) - sqrt(2) x + c =...

    Text Solution

    |

  13. If the probability of a shooter A not hitting a target is 0.5 and that...

    Text Solution

    |

  14. If theta is the between the line r = ( i + 2j- k) + lambda (i - j + 2k...

    Text Solution

    |

  15. The area of the figure formed by the lines ax + by +c = 0, ax - by + c...

    Text Solution

    |

  16. Find the Value of cot pi/24

    Text Solution

    |

  17. Let P be the point of intersection of two lines L(1) : (x + 10)/(1)...

    Text Solution

    |

  18. The area (in sq. units) of the region, R = {(x,y): y le x^(2), y le 2x...

    Text Solution

    |

  19. If alpha and beta are the coefficients of x^(8) and x^(-24) respective...

    Text Solution

    |

  20. Let A be a 2 xx2 matrix such that 3A^(2) + 6A - l(2)= O(2) . Then a va...

    Text Solution

    |