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Integration
Written by Hassan Raza (Mathematics)
8 Class 12 Mathematics questions with answers and explanations.
Printable worksheet with answer key
All questions with answers
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The integral of x³ dx is:
- 1 x⁴ / 4 + c
- 2 3x² + c
- 3 x³ / 3 + c
- 4 x⁴ + c
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Correct answer: x⁴ / 4 + c
Add one to the power and divide by it.
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The integral of cos x dx is:
- 1 -cos x + c
- 2 cos x + c
- 3 -sin x + c
- 4 sin x + c
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Correct answer: sin x + c
d/dx(sin x) = cos x.
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The integral of 1/x dx is:
- 1 ln|x| + c
- 2 -1/x² + c
- 3 x + c
- 4 1/x² + c
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Correct answer: ln|x| + c
d/dx(ln x) = 1/x.
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The definite integral of 2x dx from 0 to 3 is:
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Correct answer: 9
[x²] from 0 to 3 = 9.
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The area under y = x from x = 0 to x = 4 is:
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Correct answer: 8
The integral of x is x²/2, giving 16/2 = 8.
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The integral of e^x dx is:
- 1 x e^x + c
- 2 1/x + c
- 3 e^x + c
- 4 e^(x+1) + c
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Correct answer: e^x + c
e^x is its own antiderivative.
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The integral of sin x dx is:
- 1 -cos x + c
- 2 sin x + c
- 3 cos x + c
- 4 -sin x + c
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Correct answer: -cos x + c
d/dx(-cos x) = sin x.
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The definite integral of 3x² dx from 0 to 2 is:
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Correct answer: 8
[x³] from 0 to 2 = 8.
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