Hàm Số F(x) Nào Sau đây Là Một Nguyên Hàm Của ... - Cungthi.online

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Câu hỏi

Hàm số Fx nào sau đây là một nguyên hàm của hàm số fx. gx , biết F1=3 , ∫fxdx=x+C1 và ∫gxdx=x2+C2 . A.Fx=x2+1 . B.Fx=x2+3 . C.Fx=x2+2 . D.Fx=x2+4 . Đáp án và lời giải Đáp án:C Lời giải:Lời giải Chọn C Theo giả thiết ta có: fx=1 và gx=2x nên fx. gx=2x . Fx=∫2xdx=x2+C . Vì F1=3⇒C=2 . Vậy một nguyên hàm Fx cần tìm của hàm số fx. gx , là Fx=x2+2 .

Vậy đáp án đúng là C.

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