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about to only mathematics...

about to only mathematics

A

50

B

100

C

200

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A

The graph with solid line is the graph of `f(x)={x}` and the graph with dotted lines is the graph of `f(x)={-x}`. Now, the graph of min `({x},{-x})` is the graph with dark solid lines.
`int_(-100)^(100) f(x)dx=` Area of 200 triangles shown as solid dark lines in the diagram
`=2001/2(1)=50`
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CENGAGE-DEFINITE INTEGRATION -Exercise (Single)
  1. T h ev a l u eof(lim)(nvecoo)[t a npi/(2n)tan(2pi)/(2n)dottan(npi)/(2n...

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  2. int(2-a)^(2+a)f(x)dxi se q u a lto[w h e r ef(2-alpha)=f(2+alpha)AAalp...

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  3. about to only mathematics

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  4. Which of the following is incorrect ?

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  5. int(-1)^(1/2)(e^x(2-x^2)dx)/((1-x)sqrt(1-x^2))i se q u a lto (sqrt(e)...

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  6. Ifint(log2)^x(dx)/(sqrt(e^x-1))=pi/6,"then " x " is equalto" (a)4 (b)...

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  7. int(5/2)^5(sqrt((25-x^2)^3))/(x^4)dx is equal to (a) pi/6 (b) (2pi...

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  8. If f(x) is integrable over [1,2] then int(1)^(2)f(x)dx is equal to

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  9. int(e^x)/(e^(2x)+4)dx

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  10. The value of the integral int0^1(dx)/(x^2+2xcosalpha+1) is equal to si...

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  11. int0^oo(dx)/([x+sqrt(x^2+1)]^3)i se q u a lto 3/8 (b) 1/8 (c) -3/8 ...

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  12. Iff(y)=e^y ,g(y)=y;y>0,a n dF(t)=int0^t f(t-y)g(y) dy,t h e n a) F(t...

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  13. Let p(x) be a real polynomial of least degree which has a local maximu...

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  14. The numbers of possible continuous f(x) defined in [0,1] for which I1...

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  15. Suppose that F(x) is an anti-derivative of f(x)=(sinx)/x ,w h e r ex >...

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  16. int(-pi/3)^0[cot^(-1)(2/(2cosx-1))+cot^(-1)(cosx-1/2)]dx i s equal to...

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  17. Evaluate the definite integrals int(0)^((pi)/(4))(sinx+cosx)/(9+16s...

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  18. int(1)^(2)x^(2)dx is equal to

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  19. int(0)^((pi)/(2)) sin^7 xdx is :

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  20. The range of the function f(x)=int(-1)^1(sinxdt)/((1-2tcosx+t^2)i s [...

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