7. $[-1 / 2$ Points $]$ DETAILS SCALC9 4.3.025.EP. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the general indefinite integral. (Use $C$ for the constant of integration.) \[ \int\left(x^{2}+2 x-5\right) d x \] Evaluate the definite integral. \[ \int_{7}^{9}\left(x^{2}+2 x-5\right) d x \] Need Help? Read It Submit Answer

Step 1 ：Define the function as \(f = x^{2} + 2x - 5\)

Step 2 ：Calculate the indefinite integral of the function, which results in \(\frac{1}{3}x^{3} + x^{2} - 5x + C\)

Step 3 ：Calculate the definite integral of the function from 7 to 9, which results in \(\frac{452}{3}\)

Step 4 ：So, the general indefinite integral of the function \(x^{2}+2 x-5\) is \(\boxed{\frac{1}{3}x^{3} + x^{2} - 5x + C}\)

Step 5 ：And the definite integral of the function \(x^{2}+2 x-5\) from 7 to 9 is \(\boxed{\frac{452}{3}}\)