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Find the antiderivative for each function when `C` equals `0`. Do as many as you can mentally. Check your answers by differentiation.
a. `9 x^8` b. `x^7` c. `x^2+6x+5`
a. The antiderivative of `9 x^8` is .
b. The antiderivative of `x^7` is .
c. The antiderivative of `x^2+6x+5` is .
Consider the different forms of polynomial expressions presented. For each, think about how the power rule for antiderivatives applies, paying attention to how coefficients and exponents transform.
Get help:
Box 1: Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c
Be sure your variables match those in the question
`x^9`
Box 2: Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c
Be sure your variables match those in the question
`1/8 x^8`
Box 3: Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c
Be sure your variables match those in the question
`x^3/3+3 x^2+5 x`