# How do you compute the value of #int sint dt# of #[0, pi]#?

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

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

To compute the integral of sin(t) with respect to t over the interval [0, π], you can use integration techniques. The integral of sin(t) is equal to -cos(t), so integrating sin(t) with respect to t gives -cos(t) + C, where C is the constant of integration. To evaluate the definite integral over the interval [0, π], you substitute the upper and lower limits of integration into the antiderivative and subtract the result. So, for the integral of sin(t) from 0 to π, you have:

- cos(π) - (-cos(0))

Since cos(π) = -1 and cos(0) = 1, the integral evaluates to:

- (-1) - (-1) = 1 - (-1) = 1 + 1 = 2.

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 use the second fundamental theorem of Calculus to find the derivative of given #int t^(1/4) dt# from #[1,x]#?
- How do you find the area enclosed by the x-axis and the given curve #y=(6/x)# for x between -4 & -2?
- How do you find the sum of the finite geometric sequence of #sum_(i=0)^10 5(-1/3)^(i-1)#?
- How do you evaluate the integral #int10^(-x) dx#?
- What is the integral of #e^(2x^2)#?

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