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Why integral left parenthesis x squared space d y space plus space 2 x y space d x right parenthesis is equal to x squared y space plus space straight C and not 2 x squared y space plus space straight C?
Asked by rishabhsankla1 | 06 Sep, 2020, 23:14: PM
answered-by-expert Expert Answer
To find the integral of x2 dy + 2xy dx
If space we space take space derivative space of space straight x squared straight y space straight i. straight e. space straight d over dx open parentheses straight x squared straight y close parentheses space then space we space get straight d over dx open parentheses straight x squared straight y close parentheses equals straight x squared dy over dx plus 2 xy straight d open parentheses straight x squared straight y close parentheses equals straight x squared dy plus 2 xy space dx Therefore comma space integral straight x squared dy plus 2 xy space dx equals integral straight d open parentheses straight x squared dy plus 2 xy space dx close parentheses space equals space straight x squared straight y plus straight C
Answered by Renu Varma | 07 Sep, 2020, 12:34: PM
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Why integral left parenthesis x squared space d y space plus space 2 x y space d x right parenthesis is equal to x squared y space plus space straight C and not 2 x squared y space plus space straight C?
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