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Cho $a,b\in \mathbb{R},a\ne 0.$ Nếu $\int{f\left( x...

Câu hỏi: Cho $a,b\in \mathbb{R},a\ne 0.$ Nếu $\int{f\left( x \right)\text{d}x}=F\left( x \right)+C$ thì
A. $\int{f\left( ax+b \right)\text{d}x}=F(ax+b)+C .$
B. $\int{f\left( ax+b \right)\text{d}x}=aF(ax+b)+C .$
C. $\int{f\left( ax+b \right)\text{d}x}=\dfrac{1}{a}F(ax+b)+C .$
D. $\int{f\left( ax+b \right)\text{d}x}=\dfrac{1}{a}F(ax+b).$
$\int{f\left( ax+b \right)\text{d}x}=\dfrac{1}{a}\int{f\left( ax+b \right)\text{d}\left( ax+b \right)}=\dfrac{1}{a}F(ax+b)+C .$
Đáp án C.
 

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