# How do you find the general antiderivative of #f(x)= sin2x+cos2x#?

This is due to:

utilizing these guidelines:

and

By signing up, you agree to our Terms of Service and Privacy Policy

To find the general antiderivative of ( f(x) = \sin^2(x) + \cos^2(x) ), use the trigonometric identity ( \sin^2(x) + \cos^2(x) = 1 ). Then, integrate each term separately:

[ \int (\sin^2(x) + \cos^2(x)) , dx = \int 1 , dx = x + C ]

where ( C ) is the constant of integration. Therefore, the general antiderivative of ( f(x) ) is ( x + C ).

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- How do you integrate #int 1/theta^2cos(1/theta)#?
- How do you use the first part of the Fundamental Theorem of Calculus to find the derivative of #y = int 3(sin(t))^4 dt# from #e^x# to 1?
- What is the net area between #f(x) = xe^x-3x # and the x-axis over #x in [1, 5 ]#?
- How do you integrate #int (csc2x)dx#?
- How do you find the antiderivative of #1/(1-cosx)#?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7