Question

Calculus help? Integral?

Answer 1

Power rule for the 1st integral

Answer 2

power rule for the 2nd one and u substitution for the third

Answer 3

U sub for 12 and power rule for 13

Answer 4

You know power rule?

Answer 5

13 is power rule as well

Answer 6

oh sorry I just need #12

Answer 7

I don't know how to do it

Answer 8

@eliassaab could you help me with #12? please?

Answer 9

Distribute it out. x(x^2+3)=x^3+3x. Then apply power rule.

Answer 10

I don't know how...

Answer 11

@ganeshie8

Answer 12

@ranga

Answer 13

help??

Answer 14

Integral of x^n is x^(n+1) / (n+1) + C

For example: #9 is integrate x^1/3.
It is x^(1/3+1) / (1/3+1) + C = 3/4 * x^(4/3) + C

Answer 15

so I am doing #12 so that would make it x^(3+1)/(3+1)+C= ??

Answer 16

First multiply x(x^2 + 3).
x(x^2 + 3) = x^3 + 3x
Now integrate each term. First x^3 and then 3x
x^4/4 + 3x^2/2 + C

Answer 17

that goes after the = sign on the integrate i put above right?

Answer 18

For problem 12, in the Rewrite column, put: integral (x^3 + 3x)dx
In the Integrate column put: x^4/4 + 3x^2/2 + C
You can put the same value as the previous column or you can simplify it as:
x^4/4 + 6x^2/4 + C = x^2/4(x^2 + 6) + C and put x^2/4(x^2 + 6) + C in the last column.

Answer 19

thank you very much

Answer 20

You are welcome.