Question

If $\int f\left(x\right)dx=F\left(x\right)$ , then $\int 5\times f\left(x\right)dx=\frac{F\left(x\right)}{5}$, because integration is the inverse process of differentiation

• A. True
• B. False

Answer 1

The correct option is B

False

We saw in the properties of integration that $\int kf\left(x\right)=k\int f\left(x\right)$. The function given to us are in the form k f(x). So, $\int 5\times f\left(x\right)$ will be equal to $5\int f\left(x\right)$ . We are given $\int f\left(x\right)=F\left(x\right)$. So, we get $\int 5\times f\left(x\right)=5\int f\left(x\right)=5F\left(x\right)$. So the given statement is false.