7 sin°(e) cos"(t) dt

Q: sin (t) -dt 3 (4+ cos (t))?

A:

Q: sin in dx X COS21nx

A: A detailed solution is given below.

Q: (-8 sin(t) + 8 cos(t)) dt 0.

A:

Q: Solve the tollowing D.E Y+49= cos X sinx %3D

A: The given equation is a second order linear, non-homogeneous differential equation with constant…

Q: x = 1+ cos t, y = sin² t

A: on computing the derivative of the given curves with respect to t than we will find the dy/dt so

Q: dx a sin x+b cos x

A: Given problem:-

Q: Cos t dt 1+ sin t

A:

Q: 5 sin?(t) cos“(t) dt

A: ∫0π5 sin2t cos4t  dt=5∫0πsin2t. cos2t .cos2t dt=5∫0π sin2t ×1sin2t cos2t dt=5∫0πcos2t…

Q: cos e de V1 – sin 0

A:

Q: 2 cos x dx, 1+ sin x (c) t = sin r. 0.

A:

Q: (c) Show that the function z -- eX sin yt ey cos

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Q: T/2 cos t dt 1 + sin²t

A:

Q: (t² +3) cos(5t) dt

A: According to integration by parts:∫udv = uv _ ∫vduWhere u can be choose in the orderInverse, Log,…

Q: C) Find the equation of tangent to the curve 4x +9yi = 36 at the point (3 cos 0, 2 sin 0).

A:

Q: cos(3t) sin(8t) dt

A: we use  2 cos A sin B = Sin(A+B)-sin(A-B) sin(-x)= sinx

Q: •1/2 | cos(T(x + 1)) dx -2

A: First remove the upper limit and Lower limit and then substitute to make the problem simpler to…

Q: y cos x- sint x %3D

A: Given: Y = cos4x -sin4x

Q: cos(6 x) dx = %3D

A:

Q: i sin°Hcos* () .3x, sin°cos* dx 10. 3 10

A:

Q: t cos 412 dt

A: We have to solve this integration.  I am using substitution method.

Q: -S * sin ´sin sin (e*) dx

A: we have to integrate

Q: cos° (2t) 23. sin (2t) dt

A: Use the formula sin2x+cos2x =1.

Q: 5) [ e sin e dx

A: Topic = Integration   As per guidelines , At  a time only one question can be answered.

Q: )S sin cos5 x dx

A: Solve the following integral

Q: 6. S sin*(e³*) cos(e³*) e³× dx

A:

Q: i. S(e** cos(2x)) dx

A:

Q: cos æ dx =| 0.53

A: We will solve it by substitution

Q: Find Se2= cos(x)dx.

A:

Q: sint In(cos t)dt

A:

Q: cos t dt 1 + sin t 37.

A: The given integral,37. ∫cos t1+sin tdt

Q: e cos (2x) dx

A: The given integral ∫e-xcos2xdx can be evaluated as, Let,  I=∫e-xcos2xdx By applying integration by…

Q: (d) ƒ COS √1+sin x dx, (e) cos(lnx) S dx Т

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Q: xdv S- le2cos(sin-w)

A:

Q: 16 ) d du -1 cos и — 1<и<1 dx V1 – u² dx

A: As we know that the differentiation properties:- chain rule: ddx(f(g(x)))=f'(g(x))g'(x)…

Q: ∫cos^4 2x dx

A: Please see the answer in step 2

Q: 0 sin√xcos√x √x dx is equal to

A: To solve the given integral

Q: 10. cos (1/) dx

A: We have to evaluate the indefinte integral as shown below:

Q: 3a. cos πx sin πχ dx

A: We need to integrate the given expression. ( As per our policy, we can solve 1 question at a time.…

Q: d dx et ex sin x + e* cos x

A:

Q: Find the exact value. 3 S sin cos 2 0 x dx

A: Follow the procedure given below.

Q: 6. Find dy/dx and simplify y sin = - х

A: According to our policies we are allowed to solve one question at a time so kindly repost other…

Q: @2) find to dx 2. y=CoS 2' Sin e

A: To find the dy/dx of the given function

Q: d (e*co cos x) dx

A: We have to find  d/dx(ex cosx)  We know that  d/dx(pq) = p'q + pq'  Here ,  p = ex , q = cosx  Then…

Q: 1. Evaluate 9/ COS x (a) (1 – x)e dx (b) ,"™ dx p) A-2 sin r -

A:

Q: COS T dx sin' a

A: given that a integration we solve by using integration method . Here i attached solution of this…

Q: | cos(x) sin(2x) dæ

A:

Q: sec x dx cos(2x +a)+ COS a

A: Introduction :

Q: d) cos (5æ) cos(7r)dx e) S tan e sec“ rdr

A: we have to find the following integral