Question

Show that ſ √1 + sin2x dx=-cosx + sinx + c​

Answer 1

Step-by-step explanation:

sin^2+cos^2=1

so (sin^2+cos^2+sin2x)^1/2

sin2x=2sinx.cosx

so (sin^2+cos^2+2sinx.cos.)^1/2

((sinx+cosx)^2)^1/2=sinx+cosx

then integrate sinx +cosx

which is -cosx+sinx+c

that's all