00:01
Hello, let's have a look at the question.
00:03
So here we have to evaluate the integral i is equals to integration of e to the power of y multiplied by y squared dy.
00:14
So now we will solve this method by using by parts.
00:19
So we have i is equals to integration of uy into vy dy, so we have we have according to the formula of byparts, vy, then integration of uy, d -y, d -y minus integration of d by d -y of v -y and multiplied by integration of uy -d -y and whole -d -y.
00:50
So here let us use this formula.
00:53
So we have i is equals to y -square, integration of e to the power, and the power.
00:59
Y -d -y minus integration of whole d by d -y of y -square then integration of e to the power y d -y and d -y so here on solving this we will get y -square as it is then integration of e to the power y is e to the power y minus integration of then we have different differentiation of y square that is 2y and multiplied by integration of e to the power y which is e to the power y d y.
01:40
So now here again we will get y square e to the power y minus 2 integration of y e to the power y so here let us take i1 is equal to integration of y, e to the power y, dy...
