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Definite Integrals

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rebel

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rebelmaths

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Rebelmaths

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$\\int_\\var{a}^\\var{b}(1 + \\var{c}x)\\mathrm{dx}$

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$\\int_\\var{d}^\\var{f} (x^2 + \\var{g}x-\\var{h})\\mathrm{dx}$

", "variableReplacements": [], "checkingaccuracy": 0.001, "answer": "{f}^3/3+{g}{f}^2/2-{h}{f}-{d}^3/3-{g}{d}^2/2+{h}{d}", "expectedvariablenames": [], "showCorrectAnswer": true, "checkingtype": "absdiff", "vsetrange": [0, 1], "marks": 1, "showFeedbackIcon": true, "type": "jme", "scripts": {}, "showpreview": true}, {"checkvariablenames": false, "variableReplacementStrategy": "originalfirst", "vsetrangepoints": 5, "prompt": "

$\\int_\\var{j}^\\var{k}(x^3-\\var{l}x^2)\\mathrm{dx}$

", "variableReplacements": [], "checkingaccuracy": 0.001, "answer": "{k}^4/4-{l}{k}^3/3-{j}^4/4+{l}{j}^3/3", "expectedvariablenames": [], "showCorrectAnswer": true, "checkingtype": "absdiff", "vsetrange": [0, 1], "marks": 1, "showFeedbackIcon": true, "type": "jme", "scripts": {}, "showpreview": true}], "extensions": [], "preamble": {"css": "", "js": ""}, "tags": ["Rebel", "REBEL", "rebel", "rebelmaths"], "statement": "

Evaluate the integrals:

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First integrate the function and then substitute in the given limits.

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