csc^2x dx
To integrate csc^2x dx, we can use a trigonometric identity to simplify the expression
To integrate csc^2x dx, we can use a trigonometric identity to simplify the expression.
The trigonometric identity we will use is:
csc^2x = 1 + cot^2x
So, we can rewrite csc^2x as 1 + cot^2x.
Now, let’s integrate the expression:
∫ csc^2x dx = ∫ (1 + cot^2x) dx
Integrating the first term, we get:
∫ 1 dx = x + C
Now, let’s focus on integrating the second term:
∫ cot^2x dx
To integrate cot^2x, we can use the following identity:
∫ cot^2x dx = -cotx
Therefore, continuing with our expression:
∫ cot^2x dx = -cotx
Finally, putting everything together:
∫ csc^2x dx = x – cotx + C
So, the indefinite integral of csc^2x dx is x – cotx + C, where C represents the constant of integration.
More Answers:
Understanding the Expression sec^2 x and Its Relation to Trigonometric Functions | ExplainedSolving for the Integral of sec(x) tan(x) dx using u-substitution
Simplifying and Evaluating the Indefinite Integral of cscx cotx | Step-by-Step Guide
Error 403 The request cannot be completed because you have exceeded your quota. : quotaExceeded