Xét \(f\left( x \right),g\left( x \right)\) là các hàm số có đạo hàm liên tục trên \(\mathbb{R}\). Phát biểu nào sau đây sai?
A.\(\int {\left( {f\left( x \right) + g\left( x \right)} \right)} \,dx = \int {f\left( x \right)} \,dx + \int {g\left( x \right)} \,dx\).
B.\(\int {\left( {f\left( x \right) - g\left( x \right)} \right)} \,dx = \int {f\left( x \right)} \,dx - \int {g\left( x \right)} \,dx\).
C.\(\int {{{\left( {f\left( x \right)} \right)}^2}} \,dx = {\left( {\int {f\left( x \right)} \,dx} \right)^2}\).
D.\(\int {f\left( x \right)} \,d\left( {g\left( x \right)} \right) = f\left( x \right)g\left( x \right) - \int {g\left( x \right)} \,d\left( {f\left( x \right)} \right)\).
A.\(\int {\left( {f\left( x \right) + g\left( x \right)} \right)} \,dx = \int {f\left( x \right)} \,dx + \int {g\left( x \right)} \,dx\).
B.\(\int {\left( {f\left( x \right) - g\left( x \right)} \right)} \,dx = \int {f\left( x \right)} \,dx - \int {g\left( x \right)} \,dx\).
C.\(\int {{{\left( {f\left( x \right)} \right)}^2}} \,dx = {\left( {\int {f\left( x \right)} \,dx} \right)^2}\).
D.\(\int {f\left( x \right)} \,d\left( {g\left( x \right)} \right) = f\left( x \right)g\left( x \right) - \int {g\left( x \right)} \,d\left( {f\left( x \right)} \right)\).
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Hóa Học lớp 12
