Icos(lax)dx COs

Q: sin 0 cos Od0 -u'du FC = - 1 cos“ 0 + C 19.

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Q: 3 sin x dx 3. | COs cos? x

A: Our Aim is to solve the integral given below:-I=∫sin3 (x)cos2 (x)dx -(i)

Q: /9– x² using Trigonometric Substitution what is dx ? onsider x2 3 sec e de P 3 cos e de O 3 sec e…

A: Topic:- application of integration

Q: P1: |x? cos-1 x dx X* cos

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Q: Evaluate the integrals

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

Q: cos (2x) dx sinx+cosx COS Evaluate:

A: the given integral is: ∫cos(2x)sinx+cosxdx we have to evaluate the given integral.

Q: sin a =2 and cosec a = Cos a = and sec a = %3D tan a = and cot a = = %3D LIA た一〇

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Q: sin? x cos x dx 3 x COS

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Q: cos bx – cos ax Evaluate -dx, a>b> 0. x2 ANS. л(а — b). |

A: Given integral ∫−∞∞cosbx−cosaxx2dx, where a>b>0 Let Ib=∫−∞∞cosbx−cosaxx2dx...…(1) Here,…

Q: 2 sin@ cos e-13 sin e= 0 %3D

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Q: 2)r = sin Ө -2cos Ө

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Q: Establish each identity.

A: We have to prove the identity: cos α+β+cos α-β=2 cos α cos β We know the formula, cos x+y=cos x cos…

Q: sin e cos (cos a cosec 0) de (1-cos a). 2 ||

A:

Q: cos() (a) (b) cos + cos 4

A: Evaluating The value of the trigonometric Expressions

Q: Evaluate the integrals

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Sin2 z+Cos?z=D1

A: Consider the function fz=cos2z+sin2z-1 The function is a complex valued function. To prove the above…

Q: a/3 Find the value of cos(3x) dx.

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Q: (r + sin θ - cos θ) dr + r (sin θ + cos θ) dθ = 0

A: First we show that given differential equation is exact then we solve  for exact differential…

Q: | 1' cos(T +1) dr. COS

A: using the integration by parts

Q: 2 cos Ca) sin Ca) da J z sin(a) cos"(a)

A: Hey, since there are multiple questions posted, we will answer one question. If you want any…

Q: cos e sec e = 1 1 cos e sec e = cos e = 1

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Q: cos e+1 csc e 3. 3. sin 0 1- cose

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Q: ах sin bx dx eax (a sin bx – b cos bx) +C. eax - a? + b?

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Q: +COSO |-COSO %3D 1+COS O

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Q: Establish each identity.

A: This question is taken from Tringnometry in which we have to prove the RHS side by taking the LHS…

Q: 1-sin e 5. r2 cos e dr de

A: According to question∫0π∫01-sinθr2 cosθ dr dθ

Q: 4 sin(A) – cos(A) | If tan(A) = , then %3D %3D 4 sin(A) + cos(A)

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Q: Power 2 ·cos. x. ² d.x.. 015 a f. cos

A: Solution a: Given ∫00.5cosx2dx Since we know that cosx=1-x22!+x44!-x66!+... then…

Q: 8) | cos"x.dx MATHEMATICS-I

A:

Q: (ах) +k sin (az) kr +sin (ax) а cos Evaluate dæ e-

A: From the given problem: I=∫a cosax+ksinaxe-kx+sinaxdx As we know that; a-m=1am So, we can also write…

Q: r = 2 sine + 2 cos e

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Q: Cos A +1+ sin A 2 sec A 1+ sin A %3D cos A

A: To Prove: cosA1+sinA+1+sinAcosA=2secA

Q: 2 Cos h (중) Cos h(지) + 1 | %3D

A:

Q: cos²(x) dx 1+ sin(x) Evaluate:

A: Using the Pythagorean identity we know that cos2(x)=1-sin2(x)So,…

Q: Separate into real and imaginary parts cos (itog() a+ib

A: The complex number can be written as,   cosz=eiz+e-iz2cosilog(a-iba+ib)=eiilog(a-iba+ib)…

Q: 17. x= sin t and y = 2 – cos´ /

A: Given: x=sin ty=2-cos2t

Q: sin(0) d0. cos²(0) Evaluate

A:

Q: x cosy dx + cos?x

A: We have to choose the correct option from the given options according to the given information

Q: (ax) +k sin (ax) dx ka +sin (ax) а cos Evaluate e

A: On solving this integration we will get

Q: Cos' 0-Sin' e 2 Cos o

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Q: cos e – 1 . lim

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Q: sin 0 d0 cos? 0 +5 cos 0 +6

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Q: y = (sin a)cos a + (cos )sin - 5x COs x

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Q: cos 20 – cos e lim 0→0

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Q: Find the limits

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Q: rsec(x) 3 cos(x)dydx * JO -

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Q: cos(A + B) 1- tan Atan B COs A cos B

A: To prove:1-tanAtanB=cosA+BcosAcosB

Q: 9- x2 Consider using Trigonometric Substitution what is dx ? x2 3 sec e tan e de 3 sec e de 3 sec2 e…

A:

Q: (* sin - 2y cos )d = 0. dr+2ry cosdy COS

A: Find the attachment

Q: Cos O 0 = [2] COS %3D

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.