# need help on integrating this

#### zzsilver

How would you find the integral of (10 + x^2)^2 dx
Would you do integration by parts? Would you do the chain rule backwards?
Could someone give me a step by step explanation as to how to find the integral/antiderivative of the function above. Your help is much appreciated!

#### mr fantastic

MHF Hall of Fame
How would you find the integral of (10 + x^2)^2 dx
Would you do integration by parts? Would you do the chain rule backwards?
Could someone give me a step by step explanation as to how to find the integral/antiderivative of the function above. Your help is much appreciated!
A little knowledge can be a dangerous thing. Expand and integrate term-by-term.

zzsilver

#### Contributor

How would you find the integral of (10 + x^2)^2 dx
Would you do integration by parts? Would you do the chain rule backwards?
Could someone give me a step by step explanation as to how to find the integral/antiderivative of the function above. Your help is much appreciated!
$$\displaystyle \int(10+x^{2})^{2}dx=\int(100+20x^{2}+x^{4})dx=100x+\frac{20}{3}x^{3}+\frac{1}{5}x^{5}+C$$

zzsilver

#### zzsilver

thanks mr. fantastic

(Giggle) cant believe i didnt think of that!