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7x8+8x71+x+x82dx=

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a
4x81+x+x8+c
b
x8(1+x+x8)2+c
c
2x8(1+x+x8)2+c
d
x81+x+x8+c

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detailed solution

Correct option is D

Considerddxx81+x+x8=1+x+x88x7−x81+8x71+x+x82=8x7+8x8+8x5−x8−8x151+x+x82=7x8+8x71+x+x82 Now ∫7x8+8x71+x+x82dx=∫ddxx81+x+x8=x81+x+x8+c


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