135. Evaluate sin x sin x + cos x sin x dx in two ways: dx, then using the Evaluation a. By evaluating sin x + cos x Theorem. - b. By showing that f(x) dx = f ƒ (a = x) dx, then using this result.

Q: 18. Evaluate ſe3 cos 2x sin 2x dx 1,3 cos 2x + C c.e3cos 2x + C B. -e3 cos 2x + C e3 cos 2x D. 6 sin…

A:

Q: Use the method of substitution to evaluate 2x sin x? + c 2 sin x? + c sin x? + c 2 – sin x² + c

A: As we know that the common integration of : ∫cosudu=sinu ∫a·fxdx=a·∫fxdx

Q: 48. Simplify a. 1/cos x b. 1/secx c. 1/tan x d. 1/sin x 1 sin³ x col² x sin x

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Q: (2) Let f(x) = -3 sin(x+2). (c) And then determine the domain and range of f(x).

A:

Q: Find sin(a) and cos(3), tan(a) and cot(3), and sec(a) and csc(B). (a) sin(a) and cos(B) X (b) tan(a)…

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Q: 3 - What is the domain of the function f(x) ? sin x + cos X

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Q: Find f'x) usig the denivative rules, f (x) = 2 Sinx - COSX + tan X

A:

Q: Q1: Drawing the Function Y = sin(r) +2 ?? r=0: pi/10 :2*pi and using the line of the color ( cyan )…

A: We have to graph the function y=sinr+2, where 0≤r≤2π.

Q: 3r cos(x) 1. Evaluate dx V1+ sin(x)

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Q: 16. Evaluate ft tan5 x sec¹ xdx.

A: We know that Sec²x = 1+ tan²x ∫ xn dx=( xn+1)/(n+1)

Q: If f(x) = sin x, show that f(x + h) – f(x) = sin x cos h – 1 sin h + cos X h h

A:

Q: 2-x Q.1 1 Write the function f (x) = =cosx+3x² as the sum of an even and odd functions.

A: To write the function as the sum of even and odd functions.

Q: ifferentate: f(x) = COSX 1+sin x Apply the quotient ru

A: Topic:- application of derivatives

Q: Is the function f(x)=sin(3x)+cos(tan x) even, odd, or neither? Why?

A: Recall: A function f(x) is even if  f(x) =f(-x). A function f(x) is odd if f(x)=-f(-x)

Q: Evaluate: sin-l z = - cos™(-3+j5) O -5.074-j2.957 -5.074-j2.957 D-5.074+j2.957 5.074+j2.957

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Q: Prove the identity. Work on one side only. cos(4x) = 18 sin² x+8 sin ¹ x

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Q: cos x II. S .dx V1-2 sin x III. Stan³x sec*x.dx

A:

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: The detailed solution is provided below.Explanation:

Q: Let ƒ(x) = 4x − sin(4x). a) Find f (0). f(0) = b) Find ƒ(§). ƒ(§) = CHECK ANSWER

A: Given query is to find the value of the function at indicated points.

Q: EX: using the relation I= Vn show that J1(x) = 2 sin x

A: