∫(xa+ax+aa)dx= a.xa+1a+1+axln⁡a+c b.xa+1a+1+axln⁡a+aax+c c.xa+1a+1axln⁡a+aax+c d.xa+1a+1+axln⁡a+aax

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Brittany Patton · Accepted Answer

Step 1  Consider the given integral.  ∫(xa+ax+aa)dx  Rewrite the given integral as separate integrals.  ∫(xa+ax+aa)dx=∫xadx+∫axdx+∫aadx  Step 2  Integrate using the formulas:  ∫xndx=xn+1n+1+c  ∫axdx=axln⁡a+c  ∫andx=anx+c  Using these formulae, the given integral can be integrated as,  ∫(xa+ax+aa)dx=xa+1a+1+axln⁡a+aax+C  Therefore, the correct option is B.

∫(xa+ax+aa)dx= a.xa+1a+1+axln⁡a+c b.xa+1a+1+axln⁡a+aax+c c.xa+1a+1axln⁡a+aax+c d.xa+1a+1+axln⁡a+aax

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