allery$\displaystyle\int x^n\,dx$ (for $n\neq -1$) equals:
A$x^{n+1} + C$
B$\dfrac{x^{n-1}}{n-1} + C$
C$n x^{n-1} + C$
D$\dfrac{x^{n+1}}{n+1} + C$
Answer & Solution
Correct answer: D. $\dfrac{x^{n+1}}{n+1} + C$
By the power rule for integration, ∫xⁿ dx = x^{n+1}/(n+1) + C for n ≠ −1.
Keep practising Unit 6A: Indefinite Integrals & Fundamental Theorem
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