Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Integrate using basic integrals
- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using trigonometric identities
- Product of Binomials with Common Term
- FOIL Method
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The integral of a constant times a function is equal to the constant multiplied by the integral of the function
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$8\int_{-3}^{3}\sqrt{7+2x^2}xdx$
Learn how to solve problems step by step online. Integrate the function (7+2x^2)^1/28x from -3 to 3. The integral of a constant times a function is equal to the constant multiplied by the integral of the function. First, factor the terms inside the radical by 2 for an easier handling. Taking the constant out of the radical. We can solve the integral \int\sqrt[4]{4}\sqrt{\frac{7}{2}+x^2}xdx by applying integration method of trigonometric substitution using the substitution.