Evaluate \(\int^0_0 \sqrt{x} dx\)
Take Free Practice Test On 2026 JAMB UTME, Post UTME, WAEC SSCE, GCE, NECO SSCE
Correct Answer: Option C
Explanation:
\(\int^0_0 \sqrt{x} dx\)
\(\frac{x^{\frac{1}{2}} + 1}{\frac{1}{2} + 1}\) |\(^9_0\)
\(\frac{2x^{\frac{3}{2}}}{3}\)|\(^9_0\)
= \(\frac{2(9)^{\frac{3}{2}}}{3}\)
= \(\frac{2(3)^3}{3}\)
= \(\frac{2 \times 27}{3}\)
= 2 x 9
= 18
\(\int^0_0 \sqrt{x} dx\)
\(\frac{x^{\frac{1}{2}} + 1}{\frac{1}{2} + 1}\) |\(^9_0\)
\(\frac{2x^{\frac{3}{2}}}{3}\)|\(^9_0\)
= \(\frac{2(9)^{\frac{3}{2}}}{3}\)
= \(\frac{2(3)^3}{3}\)
= \(\frac{2 \times 27}{3}\)
= 2 x 9
= 18