Home
Class 12
MATHS
2 int frac{cos^2 x - sin^2 x}{cos^2 x + ...

2 `int` `frac{cos^2 x - sin^2 x}{cos^2 x + sin^2 x}` dx=............ A) sin 2x + c B) cos 2x + c C) tan 2x + c D) 2sin 2x + c

A

sin 2x + c

B

cos 2x + c

C

tan 2x + c

D

2sin 2x + c

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • Indefinite Integration

    CHETANA PUBLICATION|Exercise Exercise|221 Videos

  • Differentiation

    CHETANA PUBLICATION|Exercise Exercise|127 Videos

  • Mathematical Logic

    CHETANA PUBLICATION|Exercise EXERCISE|44 Videos

Similar Questions

Explore conceptually related problems

int frac{sin^4 2x + cos^4 2x}{sin^2 2x cos^2 2x} dx=.............

int frac{cos 2x -1}{cos 2x + 1} dx=........... A) tan x - x + c B) x + tan x + c C) x - tan x + c D) -x -cot x + c

int1/(cos2x+sin^2x) dx

int frac{x-sin x}{1-cos x} dx=........... A) x cot(x/2) + c B) -x cot(x/2) + c C) cot(x/2) + c D) x tan(x/2) + c

The value of \int_{0}^(pi) frac{x}{4 cos^2 x + 9 sin^2 x} dx is...........

int frac{1}{cos x sqrt (sin^2 x - cos^2 x)} dx=............ A) log(tan x - sqrt ( tan^2 x - 1 )) + c B) sin^(-1) ( tan x) + c C) 1+ sin^(-1)(cot x) + c (D) log(tan x + sqrt (tan^2 x - 1)) + c

int frac{sqrt (cot x)}{sin x cos x} dx =............ A) 2 sqrt cot x + c B) -2 sqrt cot x + c C) -2 sqrt cot x + c D) sqrt cot x + c

int sin^2 x cos^2 x dx=............. A) 1/8(x-frac{sin 4x}{4}) + c B) 1/8(frac{x-sin 4x}{4})+ c C) sec^2 x + c D) tan x + c

int frac{1}{cos x - cos^2 x} dx=............ (A) log(cosec x - cot x) + tan(x/2) + c (B) sin 2x -cos x +c (C) log(sec x + tan x) - cot(x/2) + c (D) cos 2x - sin x + c

CHETANA PUBLICATION-Indefinite Integration-Exercise
  1. int x^x (1+ log x) dx =............. A) (1/2) (1+log x)^2 +c B) x^(x...

    Text Solution

    |

  2. intcos^(-3/7)xsin^(-11/7)xdx=...... A) (-7/4)tan^(-4/7)x+c B) log(si...

    Text Solution

    |

  3. 2 int frac{cos^2 x - sin^2 x}{cos^2 x + sin^2 x} dx=............ A) s...

    Text Solution

    |

  4. int frac{1}{cos x sqrt (sin^2 x - cos^2 x)} dx=............ A) log(ta...

    Text Solution

    |

  5. int frac{log x}{(log ex)^2} dx= ............ A) frac{x}{1+log x} + c ...

    Text Solution

    |

  6. int [ sin(log x) + cos(log x)] dx=........... A) x cos(log x) + c B) ...

    Text Solution

    |

  7. intfrac{cos 2x -1}{cos 2x + 1} dx=........... A) tan x - x + c B) x ...

    Text Solution

    |

  8. int frac{e^(2x) + e^(-2x)}{e^x} dx =............. A) e^x - frac{1}{3 ...

    Text Solution

    |

  9. int frac{sin^4 2x + cos^4 2x}{sin^2 2x cos^2 2x} dx=.............

    Text Solution

    |

  10. int e^(3 log x) (x^4 + 1)^(-1) dx =............. A) (1/2) tan^(-1) (x...

    Text Solution

    |

  11. int frac{e^x(1+x)}{ cos^2 (x e^x)} dx=.............. A) tan(xe^x) + c...

    Text Solution

    |

  12. int frac{1}{sin(x-a) sin(x-b)} dx =.......... A) int frac{1}{sin(b-a)...

    Text Solution

    |

  13. int frac{1}{x^2 + 4x + 8} dx =............... A) tan^(-1) (frac{x+2}{...

    Text Solution

    |

  14. int frac{1}{sqrt (3 + 4x - 4 x^2)} dx =............... A) sin^(-1) fr...

    Text Solution

    |

  15. intfrac{5x-1}{3x^2+x+2}dx =....(5/6)log|3x^2+x+2|+frac{11}{3sqrt 23}ta...

    Text Solution

    |

  16. int frac {x+1}{x+2} dx =............ A) x+2 - log(x+2) + c B) sqrt (...

    Text Solution

    |

  17. intfrac{1}{4+5sin x}dx=..............a)(1/3)log |frac{2tan(x/2)+4}{2ta...

    Text Solution

    |

  18. int sqrt (frac{a+x}{a-x}) dx =................ A) -a cos^(-1) (x/a) -...

    Text Solution

    |

  19. intx^2e^(3x) dx=............ A) (1/3) x^2e^(3x) - (2/9) x e^(3x) + (2...

    Text Solution

    |

  20. int tan^(-1)sqrt x dx=.............a)xtan^(-1)sqrt x - sqrt x + tan^(-...

    Text Solution

    |