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प्रश्न
Find the antiderivative \[F\] of \[f(x)=4x^3-6\] satisfying \[F(0)=3.\]
पर्याय
\[F(x)=x^4+6x+3\]
\[F(x)=x^4-6x\]
\[F(x)=4x^3-6+3\]
\[F(x)=x^4-6x+3\]
MCQ
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उत्तर
An antiderivative of \[4x^3-6\] is \[x^4-6x+C.\] Substitution of \[x=0\] into \[F(0)=3\] gives \[C=3,\] so \[F(x)=x^4-6x+3.\]
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