Question
Download Solution PDFf(x) = 12x3 – 15x2 + 64 এর প্রতি-অন্তরকলজ নির্ণয় করুন।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFপ্রদত্ত, f(x) = 12x 3 – 15x 2 + 64
f(x) এর প্রতি-অন্তরকলজ হল F(x) + C, যেখানে C হল ধ্রুবক।
\(F\left( x \right) = \smallint 12{{\rm{x}}^3}{\rm{}}-{\rm{}}15{{\rm{x}}^2}{\rm{}} + {\rm{}}64dx = \frac{{12{x^4}}}{4} - \frac{{15{x^3}}}{3}+ 64x + C = 3{x^4} - 5{x^3} + 64x + C\)
Last updated on Jun 20, 2025
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