Answer
a) $\frac{x^{\sqrt {3}+1}}{\sqrt {3}+1}+C$
b) $\frac{x^{\pi+1}}{\pi+1}+C$
c) $\frac{x^{\sqrt 2}}{\sqrt 2}+C$
Work Step by Step
Recall: $\int x^{n}dx=\frac{x^{n+1}}{n+1}$
Use this formula to obtain the results below:
a) $\int x^{\sqrt 3}dx=\frac{x^{\sqrt {3}+1}}{\sqrt {3}+1}+C$
b) $\int x^{\pi}dx=\frac{x^{\pi+1}}{\pi+1}+C $
c) $\int x^{\sqrt {2}-1}dx=\frac{x^{(\sqrt {2}-1)+1}}{(\sqrt {2}-1)+1}+C=\frac{x^{\sqrt 2}}{\sqrt 2}+C $
