Answer – The integral of a constant B with respect to a variable x is Bx + C, where C is an arbitrary constant.

Explanation:

$\int B d x = B (x + c_{1})$ [c₁ is the constant of integration]

$= B x + B c_{1}$

The two constants B and c₁ can be combined and written as another arbitrary constant C.

$\Rightarrow \int B d x = B x + C$

Thus, the integral of a constant is the product of the constant and the variable being integrated added to an arbitrary constant.

Textbook Solutions

Calculus Indefinite Integrals Integration Math

Have homework questions? Get answers!*

Our experts are available 24/7 to help answer your homework questions in 30 subjects... and growing!