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Q.

∫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

answer is D.

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Detailed Solution

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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