∫(x eˣ)/(x+1)² dx is of which type? A. Substitution B. Integration by parts C. Partial fractions D. Special form eˣ[f(x)+f'(x)] Answer: D) Special form eˣ[f(x)+f'(x)] Explanation: Rewriting x/(x+1)² = 1/(x+1) − 1/(x+1)². Then ∫eˣ[1/(x+1) − 1/(x+1)²] dx = eˣ/(x+1) + C, using ∫eˣ[f(x) + f'(x)]dx = eˣ f(x) + C.

imo class 12 indefinite integration

∫(x eˣ)/(x+1)² dx is of which type?

VAVidaara Admin Asked 6d ago 0 views 0 answers

∫(x eˣ)/(x+1)² dx is of which type?

Answer: D) Special form eˣ[f(x)+f'(x)]

Explanation: Rewriting x/(x+1)² = 1/(x+1) − 1/(x+1)². Then ∫eˣ[1/(x+1) − 1/(x+1)²] dx = eˣ/(x+1) + C, using ∫eˣ[f(x) + f'(x)]dx = eˣ f(x) + C.

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