-olve the integration of COSX dx by combination of substitution and partial sin x + sinx...
prove it 7. Sinx dx=- Cosx +C 8. Cosr dx=Sinx + c Sx dx = x 1+1 10.Sa*dx = a In a
please solve and explain detailed sinx + cosx= 1 sin (x) + cos(x) = 1
13. Evaluate: (emcos x dx. Hint: Notice we see sin x and its derivative cosx. u=sin x is a good choice for substitution. 14. Evaluated as 15. Evaluate: x cos(x") sin(x)dx. Hint: Since the cosine function is taken to the 4n power, try u = cos(x).
0 bie 3x2_1 e CX 3x)2 dx 2 esco cos va va dx 3 l sinx sec? (cosx) dx • 7/2 cosx sin (sinx) dx 10 s S; X=(1+2x9) "dx x2 sixe dx @[Cittam bjpecede 8 4+3x sin (lax)
Find the general solution to the differential equation dx sin χ xdy +3(y +x*) = sinx dx sin χ xdy +3(y +x*) = sinx
og sinx cost D Check if the integral Sinx cosx dx is aboulte convergent, conditionally convergent or divergent let f«) contiewos, positive, decreasing function (0,1] such that SEGAOX convergent. Prove: lim xfx=0 on Xtot 5 let f be integrable function on [1]. foss x H XE [o,(Excluding some points). Prove that $x + 6) dx = }} Tip is for integrable, so is xf(x)
verify the identity tan(x+(5\pi )/(4))=(sinx+cosx)/(cosx-sinx)
Help pls!!! cosx sin x dx So 20 de W [xx* ax 6 cos x sin x dx
Find the integral. write your answer in the simplest form. [CSC(sinx)cosx dx cos5x dx (1 +2sin5x)4 4.
Solving Trig Equations class Activity 0 2 cos²x-√3 cosx=0 [0, 360) 6 Sinx + Cosx=1 [0, 21) (3 Sin (arctan 23-arccos 12) @ sin laoreet (5)