Final answer to the problem
$\frac{-179685\cdot -\pi }{16}+131.3333333+\frac{179685\pi }{16}+\frac{-0.3333333\cdot -\pi }{4}+\frac{0.3333333\pi }{4}$
Got another answer? Verify it here!
Step-by-step Solution
How should I solve this problem?
- Choose an option
- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using trigonometric identities
- Integrate using basic integrals
- Product of Binomials with Common Term
- Load more...
Can't find a method? Tell us so we can add it.
1
Simplify the expression
Learn how to solve problems step by step online.
$\int_{0}^{66}\frac{x^2\sqrt{66x-x^2}}{33}dx+\int_{0}^{66}\frac{\sqrt{66x-x^2}}{99}dx$
Learn how to solve problems step by step online. Integrate the function (x^2)/33(66x-x^2)^(1/2)+((66x-x^2)^(1/2))/99 from 0 to 66. Simplify the expression. The integral \int_{0}^{66}\frac{x^2\sqrt{66x-x^2}}{33}dx results in: \frac{1}{33}\int_{0}^{66} x^2\sqrt{66x-x^2}dx. The integral \int_{0}^{66}\frac{\sqrt{66x-x^2}}{99}dx results in: \frac{1}{99}\int_{0}^{66}\sqrt{66x-x^2}dx. Gather the results of all integrals.
Final answer to the problem
$\frac{-179685\cdot -\pi }{16}+131.3333333+\frac{179685\pi }{16}+\frac{-0.3333333\cdot -\pi }{4}+\frac{0.3333333\pi }{4}$
