Search for: ∫|x|log |x|dx is equal to (x≠0)∫|x|log |x|dx is equal to (x≠0)Ax22log |x|−x24+CB12x|x|log x+14x|x|+CC−x22log |x|+x24+CD12x|x|log |x|−14x|x|+C Register to Get Free Mock Test and Study Material +91 Verify OTP Code (required) I agree to the terms and conditions and privacy policy. Solution: Case II If x<0, then |x|=−x∴∫|x|log |x|dx=∫xlog xdx=log x⋅x22−∫1x⋅x22dx=x22⋅log x−x24+C=+x22log |x|−x24+C Case II If x<0, then |x|=−x∴∫|x|log |x|dx=−∫xlog (−x)dx=−log (−x)⋅x22−x24+C=−x22log |x|+x24+COn combining both cases, we get∫|x|log |x|dx=12x|x|log |x|−14x|x|+CPost navigationPrevious: The coordinates of a point which is equidistant from the points (0, 0, 0), (o, 0, 0), (0, b, 0), (0,0, c) are given byNext: ∫1(x−1)3(x+2)51/4dx is equal to Related content JEE Main 2023 Question Papers with Solutions JEE Main 2024 Syllabus Best Books for JEE Main 2024 JEE Advanced 2024: Exam date, Syllabus, Eligibility Criteria JEE Main 2024: Exam dates, Syllabus, Eligibility Criteria JEE 2024: Exam Date, Syllabus, Eligibility Criteria NCERT Solutions For Class 6 Maths Data Handling Exercise 9.3 JEE Crash Course – JEE Crash Course 2023 NEET Crash Course – NEET Crash Course 2023 JEE Advanced Crash Course – JEE Advanced Crash Course 2023