Evaluate the definite integral ∫(2 + 2x^5)^5 dx
Added by Kevin M.
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Let u = 2 + 2x^5, then du/dx = 10x^4 and dx = du/10x^4. Substituting these into the integral, we get: ∫(2 + 2x^5)^5 dx = (1/10)∫u^5 du Using the power rule, we can integrate this expression to get: (1/10)∫u^5 du = (1/60)u^6 + C where C is the constant of Show more…
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