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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. `7 x^6` b. `x^17` c. `x^2-1`
a. The antiderivative of `7 x^6` is .
b. The antiderivative of `x^17` is .
c. The antiderivative of `x^2-1` 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^7`
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
`1/18 x^18`
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+0 x^2-1 x`