Q. Calculate the integral of 3x^2 from 1 to 3.
Solution
The integral of 3x^2 is x^3. Evaluating from 1 to 3 gives 27 - 1 = 26.
Correct Answer:
B
— 18
Learn More →
Q. Calculate the integral of x^3 from 1 to 2.
-
A.
3.5
-
B.
4.5
-
C.
5.5
-
D.
6.5
Solution
The integral of x^3 is (1/4)x^4. Evaluating from 1 to 2 gives (4 - 1/4) = 3.75.
Correct Answer:
B
— 4.5
Learn More →
Q. Evaluate the integral of (2x + 3) from 0 to 2.
Solution
The integral of (2x + 3) is x^2 + 3x. Evaluating from 0 to 2 gives (4 + 6) - (0 + 0) = 10.
Correct Answer:
A
— 10
Learn More →
Q. Find the integral of e^x from 0 to 1.
-
A.
e - 1
-
B.
1 - e
-
C.
e + 1
-
D.
e^2 - 1
Solution
The integral of e^x is e^x. Evaluating from 0 to 1 gives e^1 - e^0 = e - 1.
Correct Answer:
A
— e - 1
Learn More →
Q. What is the integral of 1/x dx?
-
A.
ln
-
B.
x
-
C.
+ C
-
D.
x + C
-
.
1/x + C
-
.
x^2/2 + C
Solution
The integral of 1/x is ln|x| + C.
Correct Answer:
A
— ln
Learn More →
Q. What is the integral of 5 with respect to x?
-
A.
5x + C
-
B.
x + C
-
C.
5x^2 + C
-
D.
5/x + C
Solution
The integral of a constant a is ax + C. Here, a=5, so the integral is 5x + C.
Correct Answer:
A
— 5x + C
Learn More →
Q. What is the integral of cos(x) dx?
-
A.
sin(x) + C
-
B.
-sin(x) + C
-
C.
cos(x) + C
-
D.
-cos(x) + C
Solution
The integral of cos(x) is sin(x) + C.
Correct Answer:
A
— sin(x) + C
Learn More →
Q. What is the integral of sin(x) dx?
-
A.
-cos(x) + C
-
B.
cos(x) + C
-
C.
sin(x) + C
-
D.
-sin(x) + C
Solution
The integral of sin(x) is -cos(x) + C.
Correct Answer:
A
— -cos(x) + C
Learn More →
Q. What is the integral of x^2 with respect to x?
-
A.
(1/3)x^3 + C
-
B.
(1/2)x^3 + C
-
C.
(1/4)x^4 + C
-
D.
(1/5)x^5 + C
Solution
The integral of x^n is (1/(n+1))x^(n+1) + C. Here, n=2, so the integral is (1/3)x^3 + C.
Correct Answer:
A
— (1/3)x^3 + C
Learn More →
Showing 1 to 9 of 9 (1 Pages)
