Lesson 8.4.1
8.4.1 Integrating exponentials and reciprocal functions Quiz: Pearson Edexcel Maths, Unit 8
20 questions
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Lesson 8.4.1, Integrating exponentials and reciprocal functions: 20 multiple choice questions for the Pearson Edexcel Maths (9MA0), Unit 8: Integration, written with Revision Ninja.
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The 20 questions
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What is the integral of e^(kx) with respect to x?
- (1/k)e^x + C
- (1/k)e^(kx) + C
- ke^(kx) + C
- e^(kx) + C
-
What is the integral of 1/x with respect to x for x > 0?
- -1/(x^2) + C
- e^x + C
- x^( -2 ) + C
- ln x + C
-
Evaluate the integral of 3e^(2x) dx.
- (2/3)e^(2x) + C
- 6e^(2x) + C
- 3e^(2x) + C
- (3/2)e^(2x) + C
-
Find the integral of 4/x with respect to x.
- 4 ln x + C
- 4e^x + C
- -4/(x^2) + C
- ln(4x) + C
-
What is the integral of e^(3x - 1) with respect to x?
- (1/3)e^(3x - 1) + C
- (1/3)e^(3x) + C
- 3e^(3x - 1) + C
- e^(3x - 1) + C
-
Evaluate the integral of 5/(2x) dx for x > 0.
- -5/(2x^2) + C
- (2/5) ln x + C
- 5 ln(2x) + C
- (5/2) ln x + C
-
What is the result of integrating 2e^(-x)?
- -2e^(-x) + C
- -(1/2)e^(-x) + C
- -2e^x + C
- 2e^(-x) + C
-
Find the integral of 1/(3x) with respect to x where x > 0.
- ln(3x) + C
- -1/(3x^2) + C
- (1/3) ln x + C
- 3 ln x + C
-
What is the integral of e^(2x) + 3/x with x > 0?
- 0.5e^(2x) + 3 ln x + C
- 2e^(2x) + 3 ln x + C
- e^(2x) + 3 ln x + C
- 0.5e^(2x) - 3/(x^2) + C
-
Evaluate the integral of f'(x)/f(x) with respect to x.
- f(x) ln x + C
- ln|f(x)| + C
- 1/f(x) + C
- e^(f(x)) + C
-
Find the integral of 2x/(x^2 + 1) with respect to x.
- (x^2 + 1) ln x + C
- ln(x^2 + 1) + C
- -2/(x^2 + 1)^2 + C
- 2 ln(x^2 + 1) + C
-
What is the integral of tan x with respect to x?
- ln|sec x| + C
- sec^2 x + C
- -ln|cos x| + C
- sec x tan x + C
-
Evaluate the integral of 3cos(x)/sin(x) dx.
- -3 ln|cos x| + C
- 3 sin x / cos x + C
- -3 sin x + C
- 3 ln|sin x| + C
-
Find the integral of e^x / (e^x + 2) dx.
- (e^x + 2)e^x + C
- ln(e^x + 2) + C
- ln(e^x) + C
- e^x / e^x + C
-
What is the integral of 4x^3 / (x^4 + 5) dx?
- -4x^2 / (x^4 + 5)^2 + C
- (x^4 + 5)^4 + C
- 4 ln(x^4 + 5) + C
- ln(x^4 + 5) + C
-
Evaluate the definite integral of 1/x from x = 1 to x = e.
- 1
- ln e - 1
- 0
- e
-
Find the integral of (2x + 1)/(x^2 + x) dx.
- ln|2x + 1| + C
- 2 ln|x^2 + x| + C
- 2x + ln x + C
- ln|x^2 + x| + C
-
What is the integral of e^(2x + 3) with respect to x?
- e^(2x + 3) + C
- 0.5e^(2x) + C
- 2e^(2x + 3) + C
- 0.5e^(2x + 3) + C
-
Evaluate the integral of 6/(3x - 1) dx for x > 1/3.
- 6 ln|3x - 1| + C
- 2 ln|x| + C
- 2 ln|3x - 1| + C
- 18 ln|3x - 1| + C
-
What is the integral of (x^2 + e^x)/x with respect to x for x > 0?
- Not a standard single-rule integral
- ln x + e^x + C
- (x^3/3 + e^x)/ln x + C
- x + e^x ln x + C
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