∫x132+x122 dx 7x43+37x73+2411x116+C 4x43+37x73+2411x116
![∫x132+x122 dx 7x43+37x73+2411x116+C 4x43+37x73+2411x116](/img/relate-questions.png)
| ∫(x)13(2+x12)2 dx
A. 7x43+37x73+2411x116+C
B. 4x43+37x73+2411x116+C
C. 3x43+37x73+2411x116+C
D. 11x43+37x73+2411x116+C
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Right Answer is: C
SOLUTION
The given problem is of ∫(x)m(a+b xn)p dx form with “ p” being a natural number. To solve such problems we’ll expand (a+b xn)p using binomial and integrate. ∫(x)13(2+x12)2 dx=∫(x)13(4+x+4x12) dx=∫4(x)13 dx+∫x43 dx+∫4x56 dx=4x4343+x7373+4x116116+C=3x43+37x73+2411x116+C