Question

int(x-1) √x dx
fast answer ​

Answer 1

Step-by-step explanation:

$\int(x - 1) \sqrt{x} \: dx$

$\int(x - 1) {x}^{ \frac{1}{2} } \: dx$

$\int ({x})^{1 + \frac{1}{2} } - {x}^{ \frac{1}{2} } \: dx \: \: ( \because \: {x}^{m} \times {x}^{n} = {x}^{m + n} )$

$\int(x) ^{ \frac{2 + 1}{2} } - {x}^{ \frac{1}{2} } \: dx$

$\int(x)^{ \frac{3}{2} } - {x}^{ \frac{1}{2} } \: dx$

$\int {x}^{ \frac{3}{2} } \: dx- \int{x}^{ \frac{1}{2} } \: dx$

$\frac{ {x}^{ \frac{3}{2} + 1 } }{ \frac{3}{2} } - \frac{ {x}^{ \frac{1}{2} + 1} }{ \frac{1}{2} }$

$\frac{ {x}^{ \frac{3 + 2}{2} } }{ \frac{3 + 2}{2} } - \frac{ {x}^{ \frac{1 + 2}{2} } }{ \frac{1 + 2}{2} }$

$\frac{ {x}^{ \frac{5}{2} } }{ \frac{5}{2} } - \frac{ {x}^{ \frac{3}{2} } }{ \frac{3}{2} }$

$\frac{ {2x}^{ \frac{5}{2} } }{5} - \frac{ {2x}^{ \frac{3}{2} } }{3}$

I hope it is helpful

Answer 2

Answer:

Thanks priyanshu

for giving me thanks ❤❤❤