Home
Class 12
MATHS
int(0)^(2pi)(sinx+cosx)dx=...

`int_(0)^(2pi)(sinx+cosx)dx=`

A

0

B

2

C

-2

D

1

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRALS

    TARGET PUBLICATION|Exercise CRITICAL THINKING|115 Videos

  • DEFINITE INTEGRALS

    TARGET PUBLICATION|Exercise COMPETITIVE THINKING|148 Videos

  • CONTINUITY

    TARGET PUBLICATION|Exercise Evaluation Test|10 Videos

  • DIFFERENTIAL EQUATIONS

    TARGET PUBLICATION|Exercise EVALUATION TEST|25 Videos

Similar Questions

Explore conceptually related problems

Evaluate :- int_(0)^(pi//2)(sinx+cosx)dx

Consider the definite integrals A=int_(0)^(pi)sinx cosx^(2)xdx and B=int_(0)^((pi)/(2))sinx cos^(2)xdx . Then,

The value of int_(-pi)^(pi) sinx f(cosx)dx is

int_(0)^(2pi)|sinx|dx=?

Evaluate int_(0)^(pi//2)|sinx-cosx|dx .

Evaluate: int_0^(pi//2)x/(sinx+cosx)dx

Evaluate int_0^(pi/2) x/(sinx+cosx)dx

int_(0)^(pi//2)((sinx-cosx))/((1+sinxcosx))dx=0

Let I_(n)=int_(0)^(pi//2)(sinx+cosx)^(n)dx(nge2) . Then the value of n. I_(n)-2(n-1)I_(n-1) is

I_(1)=int_(0)^((pi)/2)(sinx-cosx)/(1+sinxcosx)dx, I_(2)=int_(0)^(2pi)cos^(6)dx , I_(3)=int_(-(pi)/2)^((pi)/2)sin^(3)xdx, I_(4)=int_(0)^(1) In (1/x-1)dx . Then

TARGET PUBLICATION-DEFINITE INTEGRALS-EVALUATIO TEST
  1. int(0)^(2pi)(sinx+cosx)dx=

    Text Solution

    |

  2. int0^1log(1+x)/(1+x^2)dx

    Text Solution

    |

  3. For every integer n, int(n)^(n+1)f(x)dx=n^(2), then the value of int(0...

    Text Solution

    |

  4. If f(x)+f(3-x)=0,then int(0)^(3)1/(1+2^(f(x)))dx=

    Text Solution

    |

  5. int(0)^(oo)(x logx)/((1+x^(2))^(2)) dx=

    Text Solution

    |

  6. Let I=int0^n[x]dx,n > 0, where [ ] is G.I.F.,

    Text Solution

    |

  7. If In = int0^(pi/2) (sin^2 nx)/(sin^2 x) dx, then

    Text Solution

    |

  8. The value of the integral intalpha^beta 1/(sqrt((x-alpha)(beta-x)))dx

    Text Solution

    |

  9. Let f(x)=(e^(x)+1)/(e^(x)-1) and int(0)^(1) x^(3) .(e^(x)+1)/(e^(x)-1)...

    Text Solution

    |

  10. If m and n are positive integers and f(m,n)=int(0)^(1)x^(n-1)(logx)^(m...

    Text Solution

    |

  11. The least value of the function phi(x)=int((7pi)/6)^(x)(4sint+3cost)dt...

    Text Solution

    |

  12. Prove that int(a)^(b)f(x)dx=(b-a)int(0)^(1)f((b-a)x+a)dx

    Text Solution

    |

  13. The integral int0^(1. 5)[x^2]dx ,w h e r e[dot] denotoes the greatest ...

    Text Solution

    |

  14. If f(x) is a function satisfying f(1/x)+x^(2)f(x)=0 for all non zero x...

    Text Solution

    |

  15. lim(ntooo)1/n[1+sqrt(n/(n+1))+sqrt(n/(n+2))+sqrt(n/(n+3))+………..+sqrt(n...

    Text Solution

    |

  16. lim(n->oo)sum(n=1)^n(sqrt(n))/(sqrt(r)(3sqrt(r)+4sqrt(n))^2)

    Text Solution

    |

  17. Let f(x) be a function satisfyingf'(x)=f(x) withf(0) =1 and g(x) be a ...

    Text Solution

    |

  18. int(0)^(100pi)(|sin^(3)x|+|cos^(3)x|)dx=

    Text Solution

    |

  19. I1=int0^(pi/2)(sinx-cosx)/(1+sinxcosx)dx ,I2=int0^(2pi)cos^6xdx ,I3=in...

    Text Solution

    |

  20. overset(2pi) underset(0)int(xsin^(2n)x)/(sin^(2n)x+cos^(2n)x)dx,n gt 0...

    Text Solution

    |

  21. The equation int(-pi/4)^(pi/4){a|sinx|+(bsinx)/(1+cos^2x)+c}dx=0 where...

    Text Solution

    |