ECAT Mathematics Chapter 19 online mcq test with answers for chapter 19 (Integration)

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Sr.#	Question	Answer
1
2	An integral of 1/x dx is:	A. 1/x² B. 1/-x² C. 1/lnx D. lnx
3		A. X = 100 sinθ B. X = 10 sinθ C. X = 100 secθ D. None of these
4	The differential equation of all st. lines which are at a constant distance to form the origin is
5	The number of arbitrary constants in the general solution of a differential equation is equal to the different equation	A. Order B. Degree C. Variables D. All are correct
6		A. cosec x + c B. -cosec x + c C. -sec x + c D. sec x + c
7
8		A. cos 2x + c B. - cos 2x + c C. tan 2x + c D. cot 2x + c
9
10
11		B. tan 3x + c C. cot 3x + c D. - cot 3x + c
12		A. (x³- 3x²)⁸+ c D. 3x²- 6x + c
13
14
15		B. In(x²- x + 1)⁴+ c
16		A. cos 3x + c B. - cos 3x + c
17	The area under the curve y = 1/x² between x = 1 and x =4 is:	A. -25 B. 0.75 C. -0.35 D. -10
18	Archimedes approximate the function by horizontal function and the area under f by the sum of small	A. Parallelograms B. Squares C. Retangles D. Polygons
19	An equation in which at least one term contains dy/dx, d² y /dx²etc, is called.	A. Differential equation B. Initial condition C. General solution D. Singular equation
20
21		B. a^xIn a + c C. a^x+ c D. x a^x+ c
22
23
24		C. x²+ 2x + c D. (x²+ 2x -1)⁴+ c
25		A. a cot(ax + b) + c B. - a cot(ax + b) + c
26	If the graph of f is entirely below the x-axis, then the value of definite integral is	A. = 0 B. < 0 C. > 0 D. None
27		A. sin x + c B. -sin x + c C. cos x + c D. -cos x + c
28
29		A. 5x^{4 + c} B. 1/6 x⁶+ c C. 5x²+ c D. 1/5 x⁶+ c
30	f(x)g(x)- ∫g(x) f′(x) dx is equal to	A. ∫f(x)g′(x)dx B. ∫f′(x)g(x)dx C. ∫f′(x)g(x)′dx D. ∫f(x)g(x)dx