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grading walkthrough

Advance through a small guided example and see how each available mark is awarded.

guided example · integration by parts
guided
  1. step 1
    MA
    Let I = ∫ x·eˣ dx. Apply integration by parts with u = x and dv = eˣ dx.
    The technique is correct, so the method mark is awarded. No final value has been found yet.
  2. step 2
    A
    Then du = dx and v = eˣ, so I = x·eˣ − ∫ eˣ dx.
  3. step 3
    M
    ∫ eˣ dx = eˣ, with the constant carried into the final expression.
  4. step 4
    AR
    Therefore I = x·eˣ − eˣ + C = eˣ(x − 1) + C.
live score
1/6
17% of available marks
marks earned
M
legend
M   method — correct technique
A   answer — correct value
R   reasoning — valid justification