// Numbas version: finer_feedback_settings {"name": "CA2 (2018/19) Substitution 3 (custom feedback)", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"variable_groups": [], "statement": "

Perform the following integration, using the letter $C$ to represent any unknown constants.

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$\\int e^{\\var{c}x+2} \\ dx$.

\n

", "showPreview": true, "checkVariableNames": false, "vsetRangePoints": 5, "checkingAccuracy": 0.001, "customMarkingAlgorithm": "malrules:\n [\n [\"1/{c}*e^({c}*x+2)\", \"Almost there! Did you forget to include the integration constant?\"],\n [\"{c}*e^({c}x+2)+C\", \"It looks like you differentiated rather than integrating.\"],\n [\"{c}*e^({c}x+2)\", \"It looks like you differentiated rather than integrating.\"],\n [\"e^({c}x+2)+C\", \"Double check the rule for integrating $e^{\\\\var{c}x+2}$. Did you remember to divide by the number in front of $x$?\"],\n [\"e^({c}x+2)\", \"Double check the rule for integrating $e^{\\\\var{c}x+2}$. Did you remember to divide by the number in front of $x$?\"],\n [\"({c}*x+2)*e^({c}*x+1)+C\",\"You cannot use the power rule if you have a variable in the power.\"],\n [\"({c}*x+2)*e^({c}*x+1)\",\"You cannot use the power rule if you have a variable in the power.\"]\n ]\n\n\nparsed_malrules: \n map(\n [\"expr\":parse(x[0]),\"feedback\":x[1]],\n x,\n malrules\n )\n\nagree_malrules (Do the student's answer and the expected answer agree on each of the sets of variable values?):\n map(\n len(filter(not x ,x,map(\n try(\n resultsEqual(unset(question_definitions,eval(studentexpr,vars)),unset(question_definitions,eval(malrule[\"expr\"],vars)),settings[\"checkingType\"],settings[\"checkingAccuracy\"]),\n message,\n false\n ),\n vars,\n vset\n )))Integration by susbtitution. Use the letter C for the constant.

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integration by Susbtitution

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