1. Integrate: [x³ sin(2x) dx.

Q: sin x - x dx = ?

A: Evaluate it.   ∫02sin x-xxdx

Q: 3. Evaluate (1+ sin x) dx.

A:

Q: Find ∫√(2x − 1) dx.

A: Given:

Q: a dx =? (1+sin x)sin x

A:

Q: sinh In(2+2x) dx? x+1

A:

Q: 1. Determine (i) |cos (2x– 7) dx dx (ii) x +9 (ii) dx 4-9x² 2. Determine (sin x cos x dx using (1)…

A: Since, you have posted multiple questions we will only first question with three subparts as per our…

Q: 3. Evaluate f x sin2 (x²) dx.

A: Given I=∫x sin2x2 dx To Find I

Q: 2 x² +1 -dr. VI Calculate

A: ∫xn=xn+1n+1

Q: tan-x dx 3+3x? -1 (b). /

A:

Q: -dx 1 – sin(0)

A: To evaluate the integral.

Q: 3. tan x dx

A: Formula: tan2x=sec2x-1

Q: Solve (cosx)dy = (sinx)dx

A: The objective is to solve the expression cosxdy=sinxdx

Q: Evaluate : e2x sin3x dx

A: Introduction :

Q: Evaluate Set 7x cos (6x) dx. Sex cos (6x) dx =

A:

Q: [sin(3x) sin(7x) dx a.

A:

Q: a. dx 1+ sin(ax)

A: