dx I cos (x)

Q: fe²x+Inx² sin x² dx = +√e²x cos x² dx

A:

Q: sin in dx X COS21nx

A: A detailed solution is given below.

Q: S cos(2x)e2* dx (recurring)

A:

Q: 6) | cos(/x). dx

A: "Since you have asked multiple question,we will solve the first question for you.If you want any…

Q: e cos x dx 01

A: To find:∫0∞e-x cosx dx I=∫e-x cosx dx…

Q: X COS 4x dx;

A:

Q: e3* sin x dx.

A:

Q: S(sinx + cos x)² dx

A: To find: The integral of . Formula used: Algebraic formula: Trigonometric formula: Integration…

Q: COS πx dx S1n, πx

A:

Q: dy/dx= 4 cos 4x

A:

Q: c- S cos(Inx).dx

A:

Q: S cos 4x cos 3x dx

A: We need to evaluate integral.

Q: (b) I cos cos(√x + 3) dx

A: b Given integral is ∫cosx+3dx. We have to solve the given integral. Use formula…

Q: y cos x- sint x %3D

A: Given: Y = cos4x -sin4x

Q: dy - y cos x dx = y ln [yedk COS x]

A:

Q: e3 sin(5x) dx %3D

A:

Q: [(1+cos 3x) dx 3x)?dx + cos

A: Given: I=∫(1+cos(3x))32dx

Q: dx (2) 3y sin x - -2xy cos x = 0 dy

A: Follow the procedure given below.

Q: S sin'x·cos'x dx

A:

Q: cos(x) dx 4.

A: Given: ∫14cosxxdxat n=8

Q: S cos" (3x) dx CoS

A: Apply integration by parts

Q: I) sin X dy dx Sin 2X - y Cos X

A: Explanation of the answer is as follows

Q: dx 27 (d) 2 + cos (x)

A: As per bartleby guidelines we are supported to answer only one question at a time . Kindly repost…

Q: cos(3x) dx

A: answer is in next step

Q: a) [ sin³(2x) cos(2x)dx (a) [ Sin(+) dx (b) [ Sin(F) dx dx (2 + e*)? dx |2+e*

A:

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

A:

Q: g. cOS x Vsin x dx

A: Let sinx = t

Q: x² cos(3 x) dx

A:

Q: cos'x sm'e dx

A:

Q: 3x e COs x dx

A: To evaluate:∫e3xcosxdx

Q: cos æ dx =| 0.53

A: We will solve it by substitution

Q: 3) I = dx 4) 1 = S cos?x dx

A: Given that

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

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: dx = 3 cos° x/2sinx

A:

Q: 6. J1-cos I COS T dx

A: Answer is mentioned below

Q: e* sec (e* +1)dx tanle* +1

A: We need to evaluate ∫ex sec2(ex+1) dxtan(ex+1)                              (1) Let tan(ex+1) = t On…

Q: dy dx + 2xy = x cos(x) %3D

A:

Q: (6secx cos x dx :

A: Put secx = 1/cos(x)

Q: x6 cos(x³) |dx=0

A: Follow the procedure given below.

Q: dx y of y = dy cos-1(ln (xy)) Find

A: We write cos-1 as acos for simplicity. The derivative is too complex. So, we take the help of an…

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: Sn cos® x dx

A:

Q: dx -(I+ 2x tany) ay co

A:

Q: dx 1 sin-xcot-x 2

A:

Q: d le" cos.x) cOS x dx

A: Given ,  d/dx(ex cosx)  We know that  d/dx(uv) = u'v + uv'  Here ,  u = ex and v = cosx Then ,

Q: dx 3+2 cos x

A: The value of the given integral is 2√5/5 Arctan[√5/5 tan(1/2 x)] + c

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

A: Introduction :