Mashaal Masha
Mashaal Masha
 Oct 06, 2022
0
Choose the correct options for the following questions.
Opposite process of differentiation is known as
Difficulty: Easy
A:
Integration
B:
Antiderivative
C:
Optimizing
D:
Both A and B
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Find the integral with respect to $x$ of $\frac{e^{x}}{e^{x}+1}$
Difficulty: Easy
A:
$\ln |e^{x}+1|+C$
B:
$\ln |e^{x}|+C$
C:
$e^{x}+C$
D:
None of these
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$\int {\left( {{x^2} + x - 2} \right)\,dx} = $
Difficulty: Easy
A:
$3x^{3}-x^{2}+3x-1$
B:
$\frac{x^{3}}{3} + \frac{x^{2}}{2} - 2x + C$
C:
$3x+1+C$
D:
None of these
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$\int {0\,dx} = $
Difficulty: Easy
A:
$x+C$
B:
$C$
C:
$1+C$
D:
None of these
View Solution Steps
The order of the differential equation x dy/dx=1+y is:
Difficulty: Easy
A:
2
B:
1
C:
None
D:
3
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The area enclosed between the graph $y=x^{2}-4x$ and the x-axis is:
Difficulty: Easy
A:
20/3
B:
41/3
C:
32/3
D:
25/3
The area under the curve $y=\frac{1}{x^{2}}$ between x=1 and x=4 is
Difficulty: Easy
A:
-25
B:
0.75
C:
-0.35
D:
-10
The shaded area in the diagram is given by:
Difficulty: Easy
A:
1
B:
6
C:
2/3
D:
3/2
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The shaded area in the diagram is given by:
Difficulty: Easy
A:
5/2
B:
14/5
C:
14/3
D:
5/3
The shaded area of the diagram is equal to:
Difficulty: Easy
A:
$\int_{-2}^{2}x(x^{2}-4)dx$
B:
$\int_{2}^{-2}x(x^{2}-4)dx$
C:
$\int_{-2}^{0}x(x^{2}-4)dx-\int_{0}^{2}x(x^{3}-4x)dx$
D:
$\int_{0}^{2}x(x^{2}-4)dx$

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