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Antiderrivatives (Integrals)

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Find the anti-derivative.

2. f(x) = 5x

4. g(t) = t^2 + t

6. g(t) = t^7 + t^3

8. g(x) = 6x^3 + 4

10. f(x) 5x - (sq rt of x)

12. r(t) = 1/t^2

14. p(t) = t^3 - t^2/2 - t

16. f(t) = 2t^2 + 3t^3 + 4t^4

Fin the indefinite integrals in the following. (all have the symbol for indefinite integral family proceeding)

30. (x^3-x)dx

36. {6(sq rt of x)}dx

38. (5/t^2 + 6/t^3)dt

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Find the anti-derivative.

2. f(x) = 5x

 f(x) dx =  5x dx = 5  x dx = 5 * (x^2 /2) + C = (5/2) x^2 + C

4. g(t) = t^2 + t

 g(t) dt =  (t^2 + t) dt =  t^2 dt +  t dt = (t^3 /3) + (t^2 /2) + C = (1/3) t^3 + (1/2) t^2 + C

6. g(t) = t^7 + t^3

 g(t) dt =  (t^7 + t^3) dt =  t^7 dt +  t^3 dt = (t^8 ...

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