dy 3. 1+ sin 4y

Q: limg-0 2x sinx 4-4cosx

A: We can find the limit as below, using L'Hospital rule.

Q: r=2(9+1)sin0

A: Since  Sin (0) = 0

Q: 1 + tan² dx

A:

Q: sin x dx 4 3 Show that -

A: The integration can be written as;

Q: sin 3t dt J cos 3t – 1

A: Given: I=∫sin3tcos3t-1dt   ....(1)   We know that; ∫1ax+bdx=1alnax+b+C And ∫a·fxdx=a·∫fxdx, where…

Q: (f) / sec“ y dy. tan5

A:

Q: cosxdx 3T +Sinx

A:

Q: S(1 + sinx)-1sinxdx

A:

Q: - sinx) dx 2. 1. (COSX (ax' +b)*x dx 2. 2/3

A:

Q: sin 3x dx 3-10cos3x 10.

A:

Q: BIN 2 sin² x cos x dx

A:

Q: 3 .3 S sin 2xcos 2xdx

A: The objective is to solve the integration ∫sin32xcos32xdx Let, 2x=t⇒dx=12dt, then…

Q: 25+16 x² (2, Sinx 3 + Cos? x xp 2

A: According to the fundamental theorem of calculus ∫f(x)dx=F(x), where dFdx=f(x). The definite…

Q: csch (2 sin2x)dx 1. 1– 4x²

A:

Q: 9=3 Sin 2X 2.

A: answer is in next step

Q: S sec² (7t) tan² (7t) √1 – tan² (7t) dt

A: Given integral:- ∫sec27ttan27t1-tan27tdt

Q: 2r sin 1 (r²) d»

A:

Q: sin(3t)dt

A:

Q: x cos r+ sin r -dr. Find x sin r 5.

A: The given integral,     ∫x cosx+sinxx sinxdx

Q: 2 X-9 Sinx +34 2

A: Hi ! Thanks for posting your question. Since our portal allows to answer only first three questions,…

Q: d^2y/dx^2 + 3dy/dx + 4y = 3x + 2 Utilize the indeterminate coefficient technique to solve the above…

A: Here is the, solution

Q: If sin“ w – cos (-w) = 0, and 2 then w = (?) %3D - 3.

A: Given: Sin4 w- cos4 (-w)=0 and -π2≤w≤π2 To find out: w=?

Q: f Lan 2X e *3 of +sec2X Pinel dy o

A:

Q: Simplify cos²(4y) - sin²(4y)

A: