∫ 1/x dx
The given notation ∫ 1/x dx represents an indefinite integral of the function 1/x with respect to the variable x
The given notation ∫ 1/x dx represents an indefinite integral of the function 1/x with respect to the variable x. This integral signifies finding the antiderivative of the function 1/x.
To solve this integral, we can use the property of logarithms. The integral of a function of the form 1/x can be expressed as the natural logarithm of the absolute value of x, plus a constant of integration.
∫ 1/x dx = ln |x| + C
Here, ln |x| represents the natural logarithm of the absolute value of x, and C represents the constant of integration. The absolute value is included to handle both positive and negative values of x since the natural logarithm is only defined for positive values.
So, the solution to the integral ∫ 1/x dx is ln |x| + C.
More Answers:
How to Solve the Integral of cos(u) – Step-by-Step Guide and Trigonometric IdentityStep-by-Step Guide | Evaluating the Integral of csc(u) du Using Trigonometric Substitution
Solving the Integral of sin(u) using Integration by Substitution
Error 403 The request cannot be completed because you have exceeded your quota. : quotaExceeded