How to solve #\intx^2\sqrt(9-x^2)dx# with integration by parts?
Does it involve trig substitution?
Does it involve trig substitution?
the answer
show the steps
By signing up, you agree to our Terms of Service and Privacy Policy
To solve the integral ∫x^2√(9-x^2) dx using integration by parts, follow these steps:
- Let u = x^2 and dv = √(9 - x^2) dx.
- Compute du and v.
- Apply the integration by parts formula: ∫u dv = uv - ∫v du.
- Substitute the values of u, dv, du, and v into the integration by parts formula.
- Evaluate the resulting integral.
- Simplify the expression to obtain the final answer.
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.
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.

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