ज्ञात करें `intsqrtx(x^(3/2)-7x^(5/2)+9x^(7/2))dx`

Explanation

`intx sqrt(x)(x^(3/2)-7x^(5/2)+9^(7/2))dx=intx^(1/2)(x^(3/2)-7x^(5/2)+9x^(7/2))dx` `=int(x^(1/2)x^(3/2)- 7x^(1/2)x^(5/2)+9x^(1/2)*x^(7/2))dx`
`=int(x^2-7x^3+9x^4)dx=intx^2dx-7intx^3dx+9intx^4dx`
`=x^(2+1)/(2+1)-7*x^(3+1)/(3+1)+9*x^(4+1)/(4+1)+c=x^3/3-7+9*x^5/5+c`