Lesson 1.08b
1.08b Indefinite integration Quiz: OCR Maths, Unit 8
20 questions
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Lesson 1.08b, Indefinite integration: 20 multiple choice questions for the OCR Maths (H240), Unit 8: Integration, written with Revision Ninja.
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The 20 questions
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What is the indefinite integral of x^n for n not equal to -1?
- x^(n+1)/(n+1) + c
- x^(n+1)/n + c
- x^(n-1)/(n-1) + c
- n x^(n-1) + c
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What is the indefinite integral of e^(kx)?
- (1/k) e^(kx) + c
- e^(kx)/(k + 1) + c
- k e^(kx) + c
- e^(x/k) + c
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What is the indefinite integral of 1/x?
- -1/x^2 + c
- x ln x + c
- 1/ln x + c
- ln|x| + c
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What is the indefinite integral of sin kx?
- -k cos kx + c
- (1/k) sin kx + c
- -(1/k) cos kx + c
- (1/k) cos kx + c
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What is the indefinite integral of cos kx?
- -(1/k) cos kx + c
- (1/k) sin kx + c
- k sin kx + c
- -(1/k) sin kx + c
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Find the integral of 3x^2 + 2x with respect to x.
- 6x + 2 + c
- 3x^3 + x^2 + c
- x^3 + 2x^2 + c
- x^3 + x^2 + c
-
Find the integral of 4e^(2x) with respect to x.
- 2e^(2x) + c
- 8e^(2x) + c
- 4e^(2x) + c
- e^(8x) + c
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A curve has dy/dx = 2x + 1 and passes through (-1, 2). What is its equation?
- y = x^2 + x + 2
- y = x^2 + x
- y = x^2 + 2x + 2
- y = x^2 + x - 2
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Given f'(x) = cos 2x and f(0) = 1/2, find f(x).
- f(x) = (1/2) sin 2x + 1/2
- f(x) = (1/2) sin 2x
- f(x) = sin 2x + 1/2
- f(x) = -(1/2) sin 2x + 1/2
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Find the integral of 2/x + 3 with respect to x.
- 2 ln|x| + 3x + c
- ln|2x| + 3x + c
- 2 ln|x| + 3 + c
- -2/x^2 + 3x + c
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Which expression is the integral of cos^2 x?
- x/2 - sin(2x)/4 + c
- x + sin 2x + c
- x/2 + sin(2x)/4 + c
- sin^3 x/3 + c
-
Find the integral of x^(-2) with respect to x.
- ln|x^(-2)| + c
- -1/x + c
- -2/x^3 + c
- 1/x + c
-
Find the integral of 3 cos 3x with respect to x.
- cos 3x + c
- 3 sin 3x + c
- sin 3x + c
- -sin 3x + c
-
Which expression is the integral of sin^2 x?
- x/2 - sin(2x)/4 + c
- sin^3 x/3 + c
- -cos^2 x + c
- x/2 + sin(2x)/4 + c
-
A curve has dy/dx = 6x^2 - 2 and passes through (0, 1). What is y?
- y = 2x^3 - 2x + 1
- y = 2x^3 - 2x
- y = 6x^3 - 2x + 1
- y = 2x^3 - 2x - 1
-
Find the integral of (x + 1)/x with respect to x.
- x - ln|x| + c
- 1 + ln x + c
- x + ln|x| + c
- ln|x| + c
-
A curve has dy/dx = 4e^(-x) and passes through (0, 1). What is y?
- y = 5 - 4e^(-x)
- y = -4e^(-x) + 1
- y = 4e^(-x) + 1
- y = 4 - e^(-x)
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Find the integral of 5x^(3/2) with respect to x.
- 2x^(3/2) + c
- (5/3) x^(5/2) + c
- 2x^(5/2) + c
- (5/2) x^(5/2) + c
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Find the integral of e^x + 2x with respect to x.
- e^x + x + c
- e^x + x^2 + c
- e^x + 2x^2 + c
- e^x + 2 + c
-
Find the integral of 4 - 3x with respect to x.
- 4x + (3/2)x^2 + c
- 4x - (3/2)x^2 + c
- 4 - 3 + c
- 4x - 3x^2 + c
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