1. Antiderivative

I had a question on a test and could not figure it out.
Integral Sign ( x^((3-a)/5) + x^(a-2)/7 -3x^(2a)/3 - 12^a) dx

I know you have to add 1 to the power, but how do you solve this to integrate this expression???

Help to explain this would be great, thanks.

2. Re: Antiderivative

$\displaystyle \int x^{a} dx = \frac{x^{a+1}}{a+1}+C$

3. Re: Antiderivative

Hi, I know the formula for it, I am still lost about it. I can't seem to wrap my head around it. stupid really.
Can you show me, if you want to, thanks.

4. Re: Antiderivative

fractions, fractions, fractions ... why so difficult?

$\displaystyle \frac{3-a}{5} + \frac{5}{5} = \frac{8-a}{5}$

so ...

$\displaystyle \int x^{\frac{3-a}{5}} \, dx = \frac{5}{8-a} \cdot x^{\frac{8-a}{5}} + C$

5. Re: Antiderivative

Originally Posted by bradycat
Hi, I know the formula for it, I am still lost about it. I can't seem to wrap my head around it. stupid really.
Can you show me, if you want to, thanks.
I think you need do some practice on Fraction (mathematics) - Wikipedia, the free encyclopedia

6. Re: Antiderivative

Thanks for the help. I know how to do fractions, but never encountered what to do with the letter a in it. I'll follow what you wrote above.
Thanks all the same.