1. Integrate the followings: (a) [xe 2* dx (b) f(In x) dx /2 2 (c) ...

Transcribed Image Text:

1. Integrate the followings: (a) [x²e 2* dx (b) f(In x)² dx π/2 2 (c) √ sin²=cos=dx 2 2 0 π/6 (d) sec³ 2x tan 2 xdx 0 1/2 dx (e) J (1-x²)² 0 dx √√3+2x-x² 1-3x¹ (f) f (g) f (h) (x-2)(x² + 1)² 4x³ +1 x³ - 4x dx -dx (i) f- √√9x²-25 2. Find dy/dx of the folloings: (x > 5/3) (a) y = sech(e²x) (b) y=cosh (sinh x) 3. Sketch the region and find the area when (a) y = x³ - 4x, y=0, x=0, x=2 2 (b) y = - ₂ y = |x| 1 + x² (The End) 1. Integrate the followings: (a) [x²e 2* dx (b) f(In x)² dx π/2 2 (c) √ sin²=cos=dx 2 2 0 π/6 (d) sec³ 2x tan 2 xdx 0 1/2 dx (e) J (1-x²)² 0 dx √√3+2x-x² 1-3x¹ (f) f (g) f (h) (x-2)(x² + 1)² 4x³ +1 x³ - 4x dx -dx (i) f- √√9x²-25 2. Find dy/dx of the folloings: (x > 5/3) (a) y = sech(e²x) (b) y=cosh (sinh x) 3. Sketch the region and find the area when (a) y = x³ - 4x, y=0, x=0, x=2 2 (b) y = - ₂ y = |x| 1 + x² (The End)

Answer rating: 100% (QA)

2 a xex dn Apply SLATE get by taking uxvex x e 5 7 e 7 dn 2x ... View the full answer