Integral Practice Problems. To see the solution, place the cursor on theappropriate line and press "enter":Ans1:=int((2*x^2-x+4)/(x^3+4*x),x);Ans2:=int(exp(2*theta)*sin(3*theta),theta);Ans3:=int(1/(y*(2-y)),y);Ans4:=int(t^2*cos(3*t),t);Ans5:=int(x^3*exp(x^2),x);Ans6:=int(x*5^x,x);Ans7:=int((x-1)/(x^2+1),x);For Problem 8, Maple will give an inverse hyperbolic arc tangent. To verifyyour solution, here is the integral using the substitution:Ans8:=int(1/((u+1)*(u-1)),u);subs(u=sqrt(x+1),Ans8);QyQ+SSVBbnM5RzYiLUkkaW50RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YlNiQqJkkieUdGJSIiIi1JJXNpbmhHRiU2I0YtRi5GLUYuQyQ+SSZBbnMxMEc2Ii1JJGludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGJTYkKiQsJiokSSJ4R0YlIiIlIiIiKiRGLyIiIyEiIkY0Ri9GMQ==QyQ+SSZBbnMxMUc2Ii1JJGludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGJTYkKiZJInRHRiUiIiMsJkYtIiIiIiIlRjAhIiJGLUYwQyQ+SSZBbnMxMkc2Ii1JJGludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGJTYkLUkkY29zR0YoNiMtSSNsbkdGKDYjSSJ4R0YlRjIiIiI=QyQ+SSZBbnMxM0c2Ii1JJGludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGJTYkKiYsJkkieEdGJSIiIiEiIkYvRi8sJkYuRi8iIiVGL0YwRi5GLw==QyQ+SSZBbnMxNEc2Ii1JJGludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGJTYkLUknYXJjdGFuR0YoNiNJInhHRiVGLyIiIg==LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn