need help on integrating this

Jun 2010
2
0
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

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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.
 
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Jun 2010
10
3
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!
\(\displaystyle \int(10+x^{2})^{2}dx=\int(100+20x^{2}+x^{4})dx=100x+\frac{20}{3}x^{3}+\frac{1}{5}x^{5}+C\)
 
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Reactions: zzsilver
Jun 2010
2
0
thanks mr. fantastic

(Giggle) cant believe i didnt think of that!