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The area of the region bounded by the cu...

The area of the region bounded by the curve `y=e^x` and lines `x=0a n dy=e` is `e-1` (b) `int_1^e1n(e+1-y)dy` `e-int_0^1e^x dx` (d) `int_1^e1nydy`

A

`e-1`

B

`underset(1)overset(e )int ln (e+1-y)dy`

C

`e-underset(0)overset(1)inte^(x)dx`

D

`underset(1)overset(e )int ln y dy`

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The correct Answer is:
B, C, D
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RESONANCE ENGLISH-DEFINITE INTEGRATION & ITS APPLICATION -Exercise 3 Part - I
  1. If int(n)=int(-pi)^(pi)(sin nx)/((1+pi^(x))sinx) dx, n=0,1,2,………. then

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  2. Let f: R to R be a continuous function which satisfies f(x)= int0^xf(...

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  3. The area of the region bounded by the curve y=e^x and lines x=0a n dy=...

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  4. The value of underset(xrarr0)(lim)(1)/(x^(3)) int(0)^(x)(tln(1+t))/(t^...

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  5. The value of int(0)^(1)(x^(4)(1-x)^(4))/(1+x^(4))dx is (are)

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  6. about to only mathematics

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  7. For any real number x, let [x] denote the largest integer less than or...

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  8. Let f be a real-valued function defined on the inverval (-1,1) such th...

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  9. Consider the polynomial f(x)= 1+2x+3x^2+4x^3. Let s be the sum of all ...

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  10. Consider the polynomial f(x) = 1+2x+3x^(2)+4x^(3) Let s be the sum...

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  11. Consider the polynomial f(x)= 1+2x+3x^2+4x^3. Let s be the sum of all ...

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  12. T h ev a l u eofint(sqrt(1n2))^(sqrt(1n3))(xsinx^2)/(sinx^2+sin(1n6-x^...

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  13. Let the straight line x= b divide the area enclosed by y=(1-x)^(2),y=0...

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  14. Let f:[-1,2]vec[0,oo) be a continuous function such that f(x)=f(1-x)fo...

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  15. Let S be the area of the region enclosed by y-e^(-x^(2)),y=0, x=0 and ...

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  16. The value of the integral int(-pi//2)^(pi//2) (x^(2) + log" (pi-x)/(pi...

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  17. Let f(x) = (1-x)^(2) sin^(2)x+ x^(2) for all x in IR and let g(x) = in...

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  18. Let f(x) = (1-x)^(2) sin^(2)x+ x^(2) for all x in IR and let g(x) = in...

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  19. If f(x) = int(0)^(x) e^(t^(2)) (t-2) (t-3) dt for all x in (0, oo) , t...

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  20. The area enclosed by the curve y=sinx+cosxa n dy=|cosx-sinx| over the ...

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