∫$$x132+x122dx$$ is equal to

Correct option is 13x43+2411x116+37x73+c

Questions

$\int x^{\frac{1}{3}} {(2 + x^{\frac{1}{2}})}^{2} d x is equal to$

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3x43+2411x116+37x73+c

3x34+2411x116+37x73+c

3x34+2411x116+37x37+c

3x34+2411x116+73x73+c

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detailed solution

Correct option is A

∫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

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$\int x^{\frac{1}{3}} {(2 + x^{\frac{1}{2}})}^{2} d x is equal to$