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Integration

5 Class 12 Mathematics questions with answers and explanations.

Printable worksheet with answer key

All questions with answers
  1. The integral of x^3 dx is:

    • 1 x^4 / 4 + c
    • 2 3x^2 + c
    • 3 x^3 / 3 + c
    • 4 x^4 + c
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    Correct answer: x^4 / 4 + c

    Add one to the power and divide by it.

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  2. 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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  3. 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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  4. The definite integral of 2x dx from 0 to 3 is:

    • 1 6
    • 2 3
    • 3 9
    • 4 18
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    Correct answer: 9

    [x2] from 0 to 3 = 9.

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  5. The area under y = x from x = 0 to x = 4 is:

    • 1 16
    • 2 8
    • 3 4
    • 4 2
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    Correct answer: 8

    The integral of x is x2/2, giving 16/2 = 8.

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