Next, we will try to prove an analogue of the constant multiple rule for derivatives. Let's consider the following example. {{CMD_160}} Find an antiderivative of the function {{MATH_161}}, where {{MATH_162}}, for all {{MATH_163}} in some interval {{MATH_164}}. {{CMD_165}} {{CMD_166}}{{MATH_167}}{{CMD_168}} {{CMD_169}}{{MATH_170}}{{CMD_171}} {{CMD_172}}{{MATH_173}}{{CMD_174}} {{CMD_175}} {{CMD_176}} Differentiate each choice for {{MATH_177}}. In the first choice we get {{MATH_178}}. {{CMD_179}} {{CMD_180}}