के मान निकालिए, जहाँ से प्राप्त वक्र है।

Question

$\int_C(2x^2+3y^2)dx$ के मान निकालिए, जहाँ $C:\quad x(t)=at^2,\quad y(t)=2at,\quad 0\le t\le 1$ से प्राप्त वक्र है।

18 Feb 2025

Answer :

Word Count : 310

दिया गया प्रश्न है: \[ \int_C (2x^2 + 3y^2) dx \] जहाँ $ C $ से वक्र $ x(t) = at^2 $ और $ y(t) = 2at $, $ 0 \leq t \leq 1 $ द्वारा परिभाषित है। अब हम इसका समाधान करेंगे। ### चरण 1: समीकरण में पैरामीट्रिक रूप में ________ ________ ____ _________ ________ ______ _____ __________ __________.
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