ECAT Mathematics Chapter 19 Integration Online Test With Answers

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ECAT Mathematics Chapter 19 Integration Online Test

Sr. # Questions Answers Choice
1 <span style="color: rgb(34, 34, 34); font-family: &quot;Times New Roman&quot;; font-size: 24px; text-align: center; background-color: rgb(255, 255, 224);"><i>π</i></span> <span style="color: rgb(34, 34, 34); font-family: &quot;Times New Roman&quot;; font-size: 24px; text-align: center; background-color: rgb(255, 255, 224);"><i>π/6</i></span> -<span style="color: rgb(34, 34, 34); font-family: &quot;Times New Roman&quot;; font-size: 24px; text-align: center; background-color: rgb(255, 255, 224);"><i>π/2</i></span> 2<span style="color: rgb(34, 34, 34); font-family: &quot;Times New Roman&quot;; font-size: 24px; text-align: center; background-color: rgb(255, 255, 224);"><i>π</i></span>
2 0 1 2 4
3 Always negative Zero Always positive Infinity
4 If the graph of f is entirely below the x-axis, then the value of definite integral is = 0 &lt; 0 &gt; 0 None
5 If the lower limit of an integral is a constant and the upper limit is a variable, then the integral is a Constant function Variable value Function of upper limit All
6 The arbitrary constants involving in the solution can be determined by the given conditions. Such conditions are called Boundaries Variable separable Initial values None
7 Y = -x log x -x + c Y = x log x + x Y = x log x - x + c None of these
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9
10 X = 100 sin<span style="color: rgb(34, 34, 34); font-family: &quot;Times New Roman&quot;; font-size: 24px; text-align: center; background-color: rgb(255, 255, 248);"><i>θ</i></span> X = 10 sin<span style="font-family: &quot;Times New Roman&quot;; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 248);"><i>θ</i></span> X = 100 sec<span style="font-family: &quot;Times New Roman&quot;; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 248);"><i>θ</i></span> None of these
11 A variable A constant 0 None of these
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14 Which of the following integrals can be evaluated
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18 y + 1 = Ae<sup>x</sup> y + 1 = Axe<sup>x</sup> xe<sup>x </sup>= C y + xe<sup>x</sup>= C
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20 The differential equation of all st. lines which are at a constant distance to form the origin is
21 The differential equations of all conis whose axes coincide with the co-ordinate axis is
22 The differential equation representing the family of curves y = A cos (x + B), where A, B are parameters, is
23 1 2 3 4
24 1 2 3 4
25 Te order of the differential equation of all conics whose axes coincide with the axes of co-ordinates is 2 3 4 1
26 2, 3 3, 3 2, 6 2, 4
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