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Q.

∫x132+x122dx is equal to

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a

3x43+2411x116+37x73+c

b

3x34+2411x116+37x73+c

c

3x34+2411x116+37x37+c

d

3x34+2411x116+73x73+c

answer is A.

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Detailed Solution

∫x132+x122dx Let x=t6dx=6t5dt=∫t22+t326t5dt=6∫t74+t6+4t3dt=6∫4t7+4t10+t13dt=6∫4t88+4t1111+t1414+C=3x43+2411x116+37⋅x73+C
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∫x132+x122dx is equal to