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Integration ( Review)
Integration ( Review)
30 terms
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1
What does C stands for?
Differentiation
Variable
ArbitraryConstant
Integral
2
Which of the following shows the formula of Indefinite Integral of a Constant?
โซ๐n ๐ ๐=๐n+๐/๐+๐ +๐ช
โซ๐/๐ ๐ ๐=๐ฅ๐ง|๐|+๐ช
โซ๐kx ๐ ๐ = ๐/๐ ๐kx +๐ช
สkdx = kx + C
3
Which of the following is the process of finding the function of the Antiderivative?
Integration
Differentiation
Substitution
Derivative
4
Evaluate the indefinite integral of \int_{ }^{ }\frac{3}{x}dx
1/3 ln x + C
1/3 ln |x| + C
3 ln lxl + C
3 ln x + C
5
Evaluate the indefinite integral of \int_{ }^{ }6x^2dx
x3
2x3 +C
2x + C
2x + 6 + C
6
What does F (x) mean?
Integral
Antiderivative
Calculus
Derivative
7
Find the indefinite integral of \int_{ }^{ }e^{2x}dx
2e2x - c
1/2 e2x + C
2e2x + C
-1/2e2x + C
8
Evaluate the indefinite integral of \int_{ }^{ }\left(2x-3\right)dx
X2 -x + C
x2 - 4x +C
2x2 - 3x +C
x2 - 3x +C
9
Which of the following shows General Power Rule in Integration by Substitution
โซ๐ขn ๐๐ข = ๐ขn+1 / ๐+1 +๐ถ
โซ 1/๐ข ๐๐ข = ๐๐ |๐ข|+๐ถ
โซ๐u ๐๐ข = ๐u +๐ถ
โซ๐n ๐ ๐=๐n+๐/๐+๐ +๐ช
10
Evaluate the indefinite integral of \int_{ }^{ }\frac{2du}{u}
ln u + C
ln |u| + C
2ln u + C
2ln |u| + C
11
The slope of the curve is 3x
2
- 2x and the curve passes through the point (2, 1). What is the value of C?
-3
-4
-6
-5
12
Evaluate the indefinite integral of \int_{ }^{ }\frac{dx}{x^2}
\frac{1}{x}+C
ln |x2| + C
-\frac{1}{x}+C
2x + C
13
What does โซ๐(๐ฅ)dx stands for?
Differential
Derivatives
Indefinite Integral
Definite Integral
14
The indefinite Integral of a Constant \int_{ }^{ }kdx=kx+Cwhere C is a Constant.
False
True
15
Evaluate the indefinite integral of \int_{ }^{ }\left(1-4x\right)dx
x + 4x2 + C
x โ x2 + C
x โ 2x2 + C
2x โ 2x2 + C
16
Evaluate \int_{ }^{ }\frac{1+\cos x}{1-\cos x}dx
-\cot x-2\csc x-x+C
-2\cot x-2\csc x+x+C
-\cot x-2\csc x-\cot x-x+C
-2\cot x-2\csc x-x+C
17
If F(x) and G(x) are both antiderivatives of f(x), Then there is a constant C such that F(x) - G(x) = C
False
True
18
Evaluate the indefinite integral of \int_{ }^{ }\left(5x+4\right)^5dx
\frac{\left(5x+4\right)^6}{30}+C
-\frac{\left(5x+4\right)^6}{30}+C
\frac{\left(5x+4\right)^6}{6}+C
\frac{\left(5x+4\right)^5}{5}+C
19
Evaluate \int_{ }^{ }e^{4x+2}dx
1/4e4x+2 + C
1/4e4x+2 - C
4e4x+2 + C
-1/4e4x+2 + C
20
Which of the following shows the formula for Power Rule?
โซ๐/๐ ๐ ๐=๐ฅ๐ง|๐|+๐ช
โซ๐n ๐ ๐=๐n+๐/๐+๐ +๐ช
สkdx = kx + C
โซ๐kx ๐ ๐ = ๐/๐ ๐kx +๐ช
21
Evaluate \int_{ }^{ }\sin^2x\cos xdx
cos3x/3 + C
-cos2x/2 + C
cos2x/2 + C
-cos3x/3 + C
22
What is the formula of antiderivative?
xn = xn-1 /n - 1
xn = xn+1 / n + 1
xn = xn+1
xn = xn / n+ 1
23
Evaluate the indefinite integral of \int_{ }^{ }\sec^2\left(5x-4\right)dx
5 tan (5x - 4) + C
1/4 tan (5x - 4) + C
-1/5 tan (5x - 4) + C
1/5 tan (5x - 4) + C
24
Find \int_{ }^{ }x^4\left(x^5-2\right)^2dx
1/5 (x5 - 2)3 + C
15 (x5 - 2)3 + C
10 (x5 - 2)3 + C
1/15 (x5 - 2)3 + C
25
Find the indefinite Integral of \int_{ }^{ }\left(3x-2\right)\left(x+2\right)
x3 + 2x2 - 4x + C
1/3x3 - 1/2x2 - 6x + C
1/3x3 - 2x2 - 6x + C
3x3 + 2x2 - 4x + C
26
Evaluate \int_{ }^{ }\frac{xdx}{x^2+6}
ln| x2 + 6 | + C
2 ln| x2 + 6 | + C
1/2 ln| x2 + 6 | + C
ln| x2 + 6 | + C
27
Which of the following shows the Indefinite Integral of the Function ๐ฅ
-1
?
โซ๐/๐ ๐ ๐=๐ฅ๐ง|๐|+๐ช
สkdx = kx + C
โซ๐n ๐ ๐=๐n+๐/๐+๐ +๐ช
โซ๐kx ๐ ๐ = ๐/๐ ๐kx +๐ช
28
Evaluate the indefinite integral of \int_{ }^{ }\left(x^4-x^3+x^2\right)dx
\frac{x^4}{4}-\frac{x^3}{3}+\frac{x^2}{2}+C
\frac{x^5}{5}-\frac{x^4}{4}+\frac{x^3}{3}+C
\frac{x^5}{5}+\frac{x^4}{4}+\frac{x^3}{3}+C
x^4-x^3+x^2+C
29
What does this symbol โซ mean?
Symbol
Indefinite Integration
Integral sign
Integrand
30
Evaluate the indefinite integral of \int_{ }^{ }\sin5xdx
-cos 5x + C
Tan 5x + C
-1/5 Cos 5x + c
-cos 4x + C
