Use the direct integration method to solve the following initial value problem.dx(t)dt=10*t, where x(0)=0Direct integration of the equation above results in the family of solutions x(t). Type below the expression for x(t). Use t for the variable, C(capitalC) for the integration constant and ?(())to indicate power.Given the initial condition x(0), calculate and provide below the numerical value for the integration constant C.Please inset below the final expression for the solition of the initial value problem x(t), which includes the independent variable t andnumberical values of the assoicated constants.