Solution of Chapter 7. Integrals (Mathematics - Exemplar Book)

Exercise

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Verify the following :
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Verify the following :
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Evaluate the following:
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Evaluate the following:


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Evaluate the following:
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Evaluate the following:
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Evaluate the following:
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Evaluate the following:
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Evaluate the following:
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Evaluate the following:

(Hint: Put √x = z)
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Evaluate the following:
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Evaluate the following:

(Hint : Put x = z4)
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Evaluate the following:
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Evaluate the following:
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Evaluate the following:
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Evaluate the following:
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Evaluate the following:
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Evaluate the following:
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Evaluate the following:
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Evaluate the following:
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Evaluate the following:
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Evaluate the following:
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Evaluate the following:
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Evaluate the following:
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Evaluate the following:
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Evaluate the following:
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Evaluate the following as limit of sums:
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Evaluate the following as limit of sums:
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Evaluate the following:
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Evaluate the following:
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Evaluate the following:
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Evaluate the following:
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Evaluate the following:
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Evaluate the following:

(Hint: let x = sin θ)
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Evaluate the following:
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Evaluate the following:
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Evaluate the following:
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Evaluate the following:
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Evaluate the following:
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Evaluate the following:

(Hint: Put x = a tan2 θ)
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Evaluate the following:
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Evaluate the following:
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Evaluate the following:

(Hint: Put tan x = t2)
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Evaluate the following:


(Hint: Divide Numerator and Denominator by cos4x)
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Evaluate the following:
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Evaluate the following:
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Evaluate the following:
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is equal to
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is equal to
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is equal to
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is equal to
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is equal to
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If log |x + 2| + C, then
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is equal to
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is equal to
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If , then
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is equal to
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is equal to
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Fill in the blanks in each of the following

is equal to ___________.
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Fill in the blanks in each of the following

___________.
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Fill in the blanks in each of the following

If then a = ____________.
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Fill in the blanks in each of the following

__________.
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Fill in the blanks in each of the following

The value of is ____________.