∫cos(x)dx
sinx + c
To integrate ∫cos(x)dx, we can use the integration by substitution method.
Let u = sin(x), so that du/dx = cos(x)dx.
Substituting u and du into the integral, we get:
∫cos(x)dx = ∫cos(x) * (cos(x)dx/cos(x)) = ∫(cos(x)/cos(x)) d(cos(x))
Now, with this substitution, cos(x)/cos(x) simplifies to 1.
So the integral becomes:
∫cos(x)dx = ∫1 d(cos(x)) = cos(x) + C, where C is the constant of integration.
Therefore, the solution to the integral ∫cos(x)dx is:
∫cos(x)dx = sin(x) + C, where C is the constant of integration.
More Answers:
Learn How To Integrate ∫Sec(X)Dx Using U-Substitution And Trigonometric IdentitiesHow To Integrate Cot(X) Using The Method Of Substitution
Mastering Integration: A Step-By-Step Guide Using Substitution To Solve ∫Tan(X)Dx
Error 403 The request cannot be completed because you have exceeded your quota. : quotaExceeded