Mastering Integration Techniques
Authored by Hal0o undefined
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12th Grade
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20 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the integral of x^n with respect to x?
(x^(n+1))/(n+1) + C
(x^(n-1))/(n-1) + C
(n*x^(n+1))/2 + C
(x^(n+2))/(n+2) + C
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Evaluate the definite integral of f(x) = 3x^2 from x = 1 to x = 4.
45
72
63
50
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Find the indefinite integral of e^x.
e^x + C
e^x + 1
e^x - C
e^(x+1) + C
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Use integration by parts to evaluate ∫ x * sin(x) dx.
-x * sin(x) + cos(x) + C
x * sin(x) - cos(x) + C
x * cos(x) + sin(x) + C
-x * cos(x) + sin(x) + C
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the substitution method in integration?
The substitution method is a technique used in integration to simplify integrals by changing the variable of integration.
A method to find the derivative of a function.
A way to approximate the value of an integral.
A technique for solving differential equations.
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Evaluate ∫ (2x + 1)^5 dx using substitution.
(1/6)(2x + 1)^5 + C
(1/12)(2x + 1)^6 + C
(1/10)(2x + 1)^6 + C
(1/8)(2x + 1)^7 + C
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Find the area under the curve y = x^3 from x = 0 to x = 2.
4
8
2
6
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