please integrate the following question.?

Question

please integrate the following question
1. x square root of x^2 + 9 dx limit 0-4
2. cos^6 x sin^10 xdx limit o-pi/2
3. (2x^2 +4)dx / x^2 +1 limit 6-10

please integrate the following question
1. x square root of x^2 + 9 dx limit 0-4
2. cos^6 x sin^10 xdx limit o-pi/2
3. (2x^2 +4)dx / x^2 +1 limit 6-10
please help me asap

Answer 1

put x^2+9 = z so xdx =dz/2
1/2Int(9,25) z^1/2dz = 1/2*2/3 z^3/2(9,25)= 1/3(125-27)=98/3
Int sin^p (x)*cos^q (x) dx =(sin^(p+q) x *cos ^(q-1)x)/(p+q)+
(q-1)/(p+q) Intsin^p x*cos^(q-2)x dx (so work it out)
3) (2x^2+4)/(x^2+1)dx = 2 dx +2/(x^2+1)dx
Int = 20-12+2(arctg 10 -arctg 6) =8.1310