Home
Class 12
MATHS
If f(x)={e^(cosxsinx ,for|x|lt=2)2,ot h ...

If `f(x)={e^(cosxsinx ,for|x|lt=2)2,ot h e r w i s e ,t h e nint_(-2)^3f(x)dx=` 0 (b) 1 (c) 2 (d) 3

A

0

B

1

C

2

D

3

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION

    MOTION|Exercise EXERCISE -2 (LEVEL-II)|11 Videos

  • DEFINITE INTEGRATION

    MOTION|Exercise EXERCISE -3|55 Videos

  • DEFINITE INTEGRATION

    MOTION|Exercise ELEMENTRAY EXERCISE|47 Videos

  • CONTINUITY

    MOTION|Exercise EXERCISE - 4 (LEVEL -II) (PREVIOUS YEAR JEE ADVANCED)|5 Videos

  • DETERMINANTS

    MOTION|Exercise EXERCISE-4 (LEVEL-II)|6 Videos

Similar Questions

Explore conceptually related problems

lim_(x->0)[(1-e^x)(sinx)/(|x|)]i s(w h e r e[dot] represents the greatest integer function). (a)-1 (b) 1 (c) 0 (d) does not exist

If int x^(2) e^(3x) dx = e^(3x)/27 f(x) +c , then f(x)=

If f(x)={(sin3x)/x,w h e nx!=0 1,w h e nx=0dot Find whether f(x) is continuous at x=0

Let f(x)={-x^2,forx<0x^2+8,forxgeq0t h e nx-in t e r c e p toft h e line, that is, the tangent to the graph of f(x) , is zero (b) -1 (c) -2 (d) -4

Show that f(x)={(x-|x|)/(2),2 w h e nx!=0i sd i s con t inuou sa tx=0dotw h e nx=0

If f(x)= e^(coscos^-1x^2+tancot^-1 x^2), then minimum value of f(x) is (A) e (B) e^2 (C) e^(2/3 (D) none of these

Off(x)=int_0^x("cos"(sint)+"cos"(cost)dt ,t h e nf(x+pi)i s (a)f(x)+f(pi) (b) f(x)+2(pi) (c)f(x)+f(pi/2) (d) f(x)+2f(pi/2)

f(x)=[(sinx)/x ,"w h e n"x!=0=2,"w h e n"x=0 sinx-, when x0/(x) =L= 2, when x=0

Evaluate: int_(-1)^1f(x)dx ,w h e r ef(x)={1-2x ,xlt=0 1+2x ,xgeq0 int_(-1)^4f(x)dx ,w h e r ef(x)={2x+8,1lt=xlt=2 6x ,2lt=xlt=4

If f(x) = {{:(e ^(x),,"," 0 le x lt 1 ,, ""), (2- e^(x - 1),,"," 1 lt x le 2,, and g(x) = int_(0)^(x) f(t ) dt","),( x- e,,"," 2lt x le 3 ,, ""):} x in [ 1, 3 ] , then

MOTION-DEFINITE INTEGRATION -EXERCISE -2 (LEVEL-I)
  1. f(x)=Minimum{tanx,cotx}AA x in(0,pi/2) Then int0^(pi/3)f(x)dx is equal...

    Text Solution

    |

  2. The value of int (1) ^(2) ([x ^(2) ]- [x] ^(2) dx is equal to (where [...

    Text Solution

    |

  3. If f(x)={e^(cosxsinx ,for|x|lt=2)2,ot h e r w i s e ,t h e nint(-2)^3f...

    Text Solution

    |

  4. The value of int0^(pi/3) [sqrt3 tanx]dx( where [.] denotes the greates...

    Text Solution

    |

  5. T h ev a l u eofint(-2)^1[x[1+cos((pix)/2)]+1]dx , where [.] denotes ...

    Text Solution

    |

  6. int (0)^(2) x ^(3) [1+ cos ""(pix)/(2)] dx is (where [**] denotes the ...

    Text Solution

    |

  7. Let f(x)=minimum {|x|,1-|x|,1/4} for xepsilonR then the value of int-1...

    Text Solution

    |

  8. If [x] dentoes the greatest integer less than or equal to x, then the ...

    Text Solution

    |

  9. If f(n)=(int0^n[x]dx)/(int0^n{x}dx)(where,[*] and {*} denotes greatest...

    Text Solution

    |

  10. int (0) ^(2npi) (|sin x | - [|(sin x )/(2) | ]) dx is equal to (where ...

    Text Solution

    |

  11. The value of int (0) ^([x]){x} dx is

    Text Solution

    |

  12. If f(x) and g(x) are continuous functions satisfying f(x) = f(a-x) an...

    Text Solution

    |

  13. If f(a+b - x) = f(x) , then int(a)^(b) x f(x) dx is equal to

    Text Solution

    |

  14. If int(0)^(pi) x f (sin x) dx = A int (0)^(pi//2) f(sin x) dx , then A...

    Text Solution

    |

  15. If f(x)=(e^(2))/(1+e^(x)),I(1)=overset(f(a))underset(f(-a))int xg{x(1-...

    Text Solution

    |

  16. The value of int(-pi)^(pi)(cos^(2)x)/(1+a^(x)dx where agt 0, is

    Text Solution

    |

  17. overset(pi//2)underset(-pi//2)int (|x|)/(8 cos^(2)2x+1)dxhas the value

    Text Solution

    |

  18. int(0)^(pi//2)(1)/(1+tan^(3)x)dx=

    Text Solution

    |

  19. int (-1) ^(1) (x ^(4))/( 1 + e ^(x ^(7)))dx is

    Text Solution

    |

  20. int (-1) ^(1) (sin x + x ^(2))/( 3 - |x|) dx

    Text Solution

    |