Home
Class 12
MATHS
l=int(-2)^(1)(tan^(-1)x+"cot"^(-1)(1)/(x...

`l=int_(-2)^(1)(tan^(-1)x+"cot"^(-1)(1)/(x))dx` is equal to

A

`(5pi)/(2)+4tan^(-1)2"ln"(5)/(2)`

B

`(5pi)/(2)-4tan^(-1)2+"ln"(5)/(2)`

C

`(5pi)/(2)-3tan^(-1)2-"ln"(5)/(2)`

D

`(5pi)/(2)-3tan^(-1)2+"ln"(5)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MOCK TEST 3

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MCQS|50 Videos

  • MOCK TEST 5

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MCQS|50 Videos

Similar Questions

Explore conceptually related problems

int(cot^(-1)((1)/(x))dx equals-

int((tan^(-1)x)^(3))/(1+x^(2))dx is equal to

int(tan^(-1)x cot^(-1)x)/(1+x^(2))dx

Evaluate (i) int_(-2)^(1)(tan^(-1)x+cot^(-1).(1)/(x))dx (ii) int_(2)^(4)sqrt(t-1-2sqrt(t-2))dt .

int x^(51)(tan^(-1)x+cot^(-1)x)dx=

int(tan^(-1)x+cot^(-1)x)/(1+x^(2))dx

inte^(tan^(-1)x)(1+(x)/(1+x^(2)))dx is equal to

The value of int(e^(x)(x^(2)tan^(-1)x+tan^(-1)x+1))/(x^(2)+1)dx is equal to

int(tan^(-1)x-cot^(-1)x)/(tan^(-1)x+cot^(-1)x)dx equals

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-MOCK TEST 4-MCQS
  1. The function f(x)=(ax+b)/((x-1)(x-4)) has a local maxima at (2,-1), th...

    Text Solution

    |

  2. int 1/((x-1)^3(x+2)^5)^(1/4)dx is equal to

    Text Solution

    |

  3. l=int(-2)^(1)(tan^(-1)x+"cot"^(-1)(1)/(x))dx is equal to

    Text Solution

    |

  4. iint(0)^(pi)sin^(4)xcos^(6)x dx is equal to

    Text Solution

    |

  5. The solution of the differential equation {1/x-y^(2)/(x-y)^(2)}dx+{x...

    Text Solution

    |

  6. Sum of the series 1+2.2+3.2^2 +4.2^3+.....+100.2^99 is

    Text Solution

    |

  7. Suppose X has a binomial distribution B(6,1/2). Show that X = 3is the ...

    Text Solution

    |

  8. A discret random variable X has the following probability distribution...

    Text Solution

    |

  9. If A=[(1,0,0),(0,1,0),(3,4,-1)] and A^(n)=l, then value of n is equal ...

    Text Solution

    |

  10. (p^^~q)^^(~p^^q) is

    Text Solution

    |

  11. Let A(h, k), B(1, 1) and C(2, 1) be the vertices of a right angled ...

    Text Solution

    |

  12. The equation of straight line passing through (-2,-7) and having an in...

    Text Solution

    |

  13. The line joining the points (1,1,2) and (3,-2,1) meets the plane 3x+2y...

    Text Solution

    |

  14. एक रेखा, एक घन के विकर्णों के साथ alpha, beta, gamma, delta, कोण बन...

    Text Solution

    |

  15. If a variable plane forms a tetrahedron of constant volume 64k^3 with ...

    Text Solution

    |

  16. Prove that sin6^0sin42^0sin66^0sin78^0-1/(16)

    Text Solution

    |

  17. If y^2 = P(x) is polynomial of degree 3, then 2(d/dx)(y^3.d^2y/dx^2) i...

    Text Solution

    |

  18. If y is a function of xa n dlog(x+y)-2x y=0, then the value of y^(prim...

    Text Solution

    |

  19. int|x|log|x|dx is equal to (xne0)

    Text Solution

    |

  20. If int (sin2x-cos2x)dx=1/sqrt2sin(2x-a)+b then

    Text Solution

    |