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- 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
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The integral of a function times a constant ($3$) is equal to the constant times the integral of the function
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$3\int\sqrt{5+4x-x^2}dx$
Learn how to solve problems step by step online. Integrate int(3(5+4x-x^2)^(1/2))dx. The integral of a function times a constant (3) is equal to the constant times the integral of the function. Rewrite the expression \sqrt{5+4x-x^2} inside the integral in factored form. We can solve the integral 3\int\sqrt{-\left(x-2\right)^2+9}dx by applying integration method of trigonometric substitution using the substitution. Now, in order to rewrite d\theta in terms of dx, we need to find the derivative of x. We need to calculate dx, we can do that by deriving the equation above.