{"@context":"https://schema.org/","@type":"Quiz","dateCreated":"2026-03-18T08:18:02.333Z","dateModified":"2026-03-18T08:18:02.333Z","typicalAgeRange":"11-18","educationalLevel":"BITSAT","assesses":"Mathematics - Integration","educationalAlignment":[{"@type":"AlignmentObject","alignmentType":"educationalTopic","targetName":"Integration"},{"@type":"AlignmentObject","alignmentType":"educationalSubject","targetName":"Mathematics"},{"@type":"AlignmentObject","alignmentType":"educationalExam","targetName":"BITSAT"}],"name":"Quiz about Integration","about":{"@type":"Thing","name":"Mathematics - Integration"},"hasPart":[{"@type":"Question","eduQuestionType":"Multiple choice","learningResourceType":"Practice problem","educationalLevel":"intermediate","name":"Question About Integration","text":"4(x+(π)/(6))\\cos2x((5π)/(6)+x)dx}","encodingFormat":"text/markdown","comment":{"@type":"Comment","text":"Reduce products of trigonometric functions before integration."},"suggestedAnswer":[{"@type":"Answer","position":0,"encodingFormat":"text/markdown","text":"

-(x+(\\sin4x)/(4)-(\\sin2x)/(2))+C

","comment":{"@type":"Comment","text":"\"\""}},{"@type":"Answer","position":1,"encodingFormat":"text/markdown","text":"

-(x+(\\sin4x)/(4)+(\\sin2x)/(2))+C

","comment":{"@type":"Comment","text":"\"\""}},{"@type":"Answer","position":2,"encodingFormat":"text/markdown","text":"

-(x-(\\sin4x)/(4)+(\\sin2x)/(2))+C

","comment":{"@type":"Comment","text":"\"\""}},{"@type":"Answer","position":3,"encodingFormat":"text/markdown","text":"

-(x-(\\sin4x)/(4)+(\\cos2x)/(2))+C\n\n

","comment":{"@type":"Comment","text":"\"\""}}],"acceptedAnswer":{"@type":"Answer","position":0,"encodingFormat":"text/markdown","text":"

-(x+(\\sin4x)/(4)-(\\sin2x)/(2))+C

","comment":{"@type":"Comment","text":"Reduce products of trigonometric functions before integration."},"answerExplanation":{"@type":"comment","text":""}}}]}

4(x+(π)/(6))\cos2x((5π)/(6)+x)dx

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The Correct Option is A

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