Question

$\int 0\cdot dx=\text{\_\_\_\_\_\_\_\_\_}$

1. $k$
2. $0$
3. $1$
4. $-1$

Answer: $k$

Solution :-

And we know that integration is an inverse process of Differentiation.
Now Integrate eq(1), we get $\int \frac{d\left(k\right)}{dx}\cdot dx=\int 0\cdot dx$

Hence, $k=\int 0\cdot dx\left(\because \int \frac{d\left(f\left(x\right)\right)}{dx}\cdot dx=f\left(x\right)\right)$

So, correct answer is option-1, $\to k$