xsqrt(x + 2) dx is equal to : Option 1: 2/5(x+2)^5/2 - 4/3(x+2)^3/2 + C Option 2: 2/5(x+2)^5/2 + 4/3(x+2)^3/2 + C Option 3: 1/5(x+2)^5/2 - 2/3(x+2)^3/2 + C Option 4: 2/5(x+2)^5/2 + 4/3(x+2)^3/2 + C

The answer is '2/5(x+2)^5/2 - 4/3(x+2)^3/2 + C'. View full solution:

CUET Mathematics - xsqrt(x + 2) dx is equal to : | PYQs + Solutions

CUET Mathematics 2022 30 Aug Shift 1

Calculus

Medium

$\frac{2}{5}(x+2)^{\frac{5}{2}} - \frac{4}{3}(x+2)^{\frac{3}{2}} + C$

$\frac{2}{5}(x+2)^{\frac{5}{2}} + \frac{4}{3}(x+2)^{\frac{3}{2}} + C$

$\frac{1}{5}(x+2)^{\frac{5}{2}} - \frac{2}{3}(x+2)^{\frac{3}{2}} + C$

$\frac{2}{5}(x+2)^{\frac{5}{2}} + \frac{4}{3}(x+2)^{\frac{3}{2}} + C$

✅ Correct Option: 1

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