1.∫ csc (u-π/2) cot (u-π/2) du.
2.∫ sec^2(3x+2)ds
3.∫ √3-2s ds
4. ∫ 12(y^4+y4y^2+1)^2 (4^3+2y) dy use u= y^4+4y^2+1
3 answers
Physics? Looks like elem calculus to me.
Its physics
1.
Use substitution x=u-&pi/2; dx=du
∫csc(u-π/2)cot(u-π/2)du
=∫csc(x)cot(x)dx
=∫cos(x)dx/sin²(x)
=∫d(sin(x))sin²(x)
=-1/sin(x)+C
Use substitution x=u-&pi/2; dx=du
∫csc(u-π/2)cot(u-π/2)du
=∫csc(x)cot(x)dx
=∫cos(x)dx/sin²(x)
=∫d(sin(x))sin²(x)
=-1/sin(x)+C