Work out integration by substitution instantly with clear inputs, formula shown and shareable results.
Substitution reverses the chain rule. Setting u = ax + b gives du = a dx, so ∫(ax + b)ᵖ dx becomes (1/a)∫uᵖ du = (ax + b)^(p+1) / (a(p + 1)) + C.
Linear substitution
∫(ax + b)ᵖ dx = (ax + b)^(p+1) / (a(p + 1)) + C
(2x+3)⁵/10 evaluated gives (3125 − 243)/10 = 288.2.
Only if you leave the answer in terms of u. Converting back to x lets you use the original limits.