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Q18 of 45 Page 1

Evaluate :

Let, I =

Multiplying x⁴ in both numerator and denominator in an attempt to apply method of substitution.

⇒ I =

Let, x⁵ = t

⇒ 5x⁴ dx = dt

∴ I =

⇒ I =

⇒ I =

We know that :

∴ I = + C

∴ I = + C

⇒ I = + C

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