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What is int(0)^(pi/(2))e^(ln(cosx))dx eq...

What is `int_(0)^(pi/(2))e^(ln(cosx))dx` equal to?

A

`-1`

B

0

C

1

D

2

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NDA PREVIOUS YEARS-QUESTION PAPER 2021(I)-MULTIPLE CHOICE QUESTION
  1. Consider the following statements in respect of the function f(x)=x^(2...

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  2. If f(x) satisfics f(1)=f(4), the what is int(1)^(4)f '(x)dx equal to?

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  3. What is int(0)^(pi/(2))e^(ln(cosx))dx equal to?

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  4. If intsqrt(1-sin2x)dx=Asinx+Bcosx+C, where 0ltxlt(pi)/(4), then which ...

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  5. What is the order of the differential equation of all ellipses whose a...

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  6. What is the degree of the differential equation of all circles touchin...

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  7. What is the differential equation of y=A-(B)/(x)?

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  8. What is int(0)^(pi) log (tan""(x)/(2)) dx equal to?

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  9. Where does the tangent to the curve y=e^(x) at the point (0,1) meet x-...

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  10. Consider the following statements in respect of the function f(x)=x+(1...

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  11. What is the maximum area of a rectangle that can be inscribed in a cir...

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  12. int \ dx/(x(x^2+1))

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  13. What is the derivative of e^(e^(x)) with respect to e^(x) ?

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  14. What is the condition that f(x) = x^(3) +x^(2) +kx has no local extrem...

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  15. If f (x) = 2^(x), then what is int(2)^(10) (f '(x))/(f(x))dx equal to ...

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  16. If int(-2)^(0) f (x) dx =k, then int(-2)^(0) |f(x)|dx is

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  17. If the function f(x) = x^(2) -kx is monotonically increasing the inter...

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  18. What is the area bounded by y = [x], where [.] is the greatest integer...

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  19. The tangent to the curve x^(2) = y at (1,1) makes an angle theta with ...

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  20. Consider the following relations for two events E and F: 1. P (E cap...

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