Question

Find integral values of x and y in the equation : y^2=x^3+7

Answer 1

${\bold {\star{\boxed{\underline {\huge {\red{Answer :}}}}}}}$

On integrating the following question

We get,

first we need to integrate each part individually so it can be written as-

$\int{y}^{2}.dx = \int \: {x}^{3} .dx + \int \: 7.dx$

by the ${\green {\tt{general\: formula}}}$

$\int \: x.dx = \frac{x^{n + 1} }{n + 1}$

where n is and ${\green {\tt{integer\: number}}}$

$\: \frac{y^{1 + 2} }{1 + 3} = \frac{ {x}^{1 + 3} }{1 + 3} + 7x + c$

$\frac{y^{3} }{3} = \frac{ {x}^{4} }{4} + 7x + c$

${\pink {\tt{where\: c\: is\: the\: constant}}}$

Answer 2

hola mate

see the attachment

thanks ❤️