Find the mistake!
Calculus
Level
5
Consider the integral, \( I=\displaystyle \int \dfrac{1}{x} dx\)
Step 1: \(\displaystyle \int \dfrac{1}{x}(1) dx =\dfrac{1}{x}x-\int \bigg( - \dfrac{1}{x^2} \bigg ) xdx \)
Step 2: \(\displaystyle \int \dfrac{1}{x} dx=1+\int \dfrac{1}{x} dx \)
Step 3: \(\displaystyle \int \dfrac{1}{x} dx-\int \dfrac{1}{x} dx=1 \)
Step 4: \( 0=1 \)
Which of the above step/s is/are wrong?
If steps a,b,c... are wrong, enter your answer as \(a \times b \times c \times .. \)
by
Sparsh Sarode