Q2: Evaluate the following integrals 1) S dx sinx 2√√2x (5+√√x) 2)S x sinx cosx dx 3), (Vi-x2)sin-1x 2 dx 4) S · sinh (lnx)dx x 8) sin5x cos3x dx 9) f: x²+10x+30 10) (1-x)dx √1-x² 5) sin x dx 6) e³x sin4x dx 7) sin²x cos x dx dx

Q: (b) Solve sin 2x + cos2x = sin² x+1 for 0≤x≤ 2.

A: (b).The trigonometric equation is:sin(2x)+cos(2x)=sin2x+1            for   0≤x≤2π

Q: Differentiate the following:

A: Step 1:Step 2:Step 3:Step 4:

Q: 3 / (2³ + 3² + sinz + soc³² 2 + √₁ ²32 + √2) +sinx+secx+ dx √1-x²

A:

Q: 25. √1x³+2x dx = A) + In 2. B)+In 2. C) + In In 3. D) + In 3. E)+In 3.

A: Properties of integration ∫ax2+a2dx=tan-1xa+C∫1xdx=lnx+C∫f(g(x))g'(x)dx=∫f(t)dt

Q: Find dy (Do not simplify) clx d)y = (2x³- 3 + 5 √x - IT) (In (2sin (x)- 8 cos(x))) x 6) y = 3√√√x2 -…

A: