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Rewrite the expression $7-y^2-\left(y^2-11\right)$ inside the integral in factored form
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$\int_{-3}^{3}2\left(y+3\right)\left(-y+3\right)dy$
Learn how to solve problems step by step online. Integrate the function 7-y^2-(y^2-11) from -3 to 3. Rewrite the expression 7-y^2-\left(y^2-11\right) inside the integral in factored form. The integral of a constant times a function is equal to the constant multiplied by the integral of the function. We can solve the integral \int\left(y+3\right)\left(-y+3\right)dy by applying integration by parts method to calculate the integral of the product of two functions, using the following formula. First, identify u and calculate du.