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Worksheet: Integration by Parts for Indefinite Integrals
Q1:
Determine .
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Q2:
Suppose . Which of the following is equal to ?
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Q3:
Determine .
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Q4:
Use integration by parts to evaluate .
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Q5:
A curve passes through and the tangent at its point has gradient . What is the equation of the curve?
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Q6:
The gradient of the tangent to the curve at the point is given by . Determine if the point lies on the curve.
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Q7:
The gradient of the tangent to the curve at the point is given by . Determine if the point lies on the curve.
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Q8:
By setting and , evaluate by integrating by parts.
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Q9:
Determine .
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Q10:
Determine .
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Q11:
Determine .
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Q12:
Integrate by parts using and .
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Q13:
Determine .
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Q14:
Determine .
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Q15:
Determine .
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Q16:
Determine .
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Q17:
Determine .
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