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## jorourk3 Group Title find the antiderivative of (3x+10)(3x-10) one year ago one year ago

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1. jorourk3 Group Title

we havent learned rules of multiplication when it comes to antiderivatives yet...so not sure how to handle it

2. Jusaquikie Group Title

you have to expand it then you do it like the other ones. $9x^2-100$

3. Jusaquikie Group Title

$\frac{ 9x^3 }{ 3 }+100x +C$

4. jorourk3 Group Title

oh ok so the antiderivative is 3x^3-100x

5. jorourk3 Group Title

ya plus the constant

6. jorourk3 Group Title

thx!

7. Jusaquikie Group Title

-100 not +100 sorry

8. jorourk3 Group Title

i have another question about antiderivatives if you could help please :)

9. Jusaquikie Group Title

sure

10. jorourk3 Group Title

the antiderivative of (x^.5+.5x^-.5)2 (the square root of x plus half times square root of x (in denominator))squared

11. jorourk3 Group Title

because if i do it the other way you did before (add the the expoenent) and divide by it.....it doesnt work because when you take the derivative you gotta take it of the inside function as well

12. Jusaquikie Group Title

how bout if you distribute the ^2 ?

13. Jusaquikie Group Title

x^2.5+.5x^1.5

14. Jusaquikie Group Title

then you can do it like normal

15. jorourk3 Group Title

oooo ok thx

16. jorourk3 Group Title

wouldnt you multiply the 2 not add it .....so it would be x+.5x^-1

17. Jusaquikie Group Title

nah think of 10^2 * 10^2 = 100*100=10,000 = 10^4

18. Jusaquikie Group Title

or 10^4* 10^2 = 10,000 * 100 = 1,000,000 = 10^6

19. jorourk3 Group Title

but thats because they have the same base.....(a^x)^y = a^xy not a^(x+y)

20. Jusaquikie Group Title

x^2 =(x)^2 = (x)x it's all the same

21. Jusaquikie Group Title

pull out your calculator and try some examples just plug in any number for x

22. ASAAD123 Group Title

23. mikel86 Group Title

3x^3-100x+constant