Evaluate the definite integral. 2/2 5 cos(x) sin(sin(x)) dx

Q: Evaluate the definite integral. (Assume a > 0.) 'al/5 x°Va? - x10 dx

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Q: 9. For the integral 8 sin" (x)cos(x)dx, if we use the substitution u = sin(x), what will be 3 the…

A: Topic - integration by substitution

Q: 8. Using any work found in Question 7, determine the value of the following definite integrals. 3x…

A: We have to find the given integrals.

Q: Evaluate the definite integral.

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Q: Find the following definite integrals using an appropriate substitution. (a) /2 cos a sin(sin x) dx.…

A: a) The given integral is ∫0π2cos(x)sin(sinx)dx. Evaluate the integral as follows. Apply u…

Q: "/2 cos* x dx /4 sinb x

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Q: 4) evaluate the following definite integral: T/2 3 sinx cos x let dx 1 + 3 sin? x

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Q: 1 sin Tx cos TIx dx 0,

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Q: Evaluate the following integrals: 1.5 cos'x dx sin³x sec*x dx tan³x 2. 3. sin?x cos?x dx 4. cos (3x)…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: Solve the following indefinite integrals. coS X dx sin² x i) COS- sin dx - 2.

A: Integration is a method of adding several small elements to make up a whole. There are 2 types of…

Q: 71. Perform the following definite integral. 2 (1 – e-x/2) dx x=0

A: The function f(x) is a rule that associates or fixes a number to the particular point x. If y=f(x),…

Q: 5. Evaluate the integral. e cos 0 sin 0 de

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Q: Evaluate the definite integrals. 7/4 a) z tan(x?) dx b) [ 5a*e dx

A: (a) ∫0π/4xtanx2dx Let, u=x2 The derivative of the above equation. dx=du2x The lower limit is, a=02=0…

Q: Determine the following definite integrals: (a) (sin(x) + =) d.x

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: x+ dx sin? 2

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Q: Evaluate the following trigonometric integrals L cos³(x}sin³(x)dx a) ( sin (x) b) -dp- Av cos?(x)

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Q: 8. Using any work found in Question 7, determine the value of the following definite integrals. x/3…

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Q: evaluate the definite integral.

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Q: sin (x) cos/2 (x)dæ sin (x)dx

A: To find the integration

Q: Evaluate the definite integral: T/6 sin8 cos e de

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Q: 4. Find the following indefinite integrals: 6 sin(x) cos(x) (a) S sin? (x) + 1 dæ;

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Q: Evaluate the definite integral. * 37/2 8|sin(x)| dx

A: given that ∫03π28sinxdxSolution…

Q: Evaluate the definite integral.

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Q: Evaluate the definite integral. Tt/14 cos(7x) sin(sin(7x)) dx

A: to find:- definite integral.

Q: Find the definite integral: a-1 dx 1

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Q: 4. Evaluate the definite integrals below using anti-derivatives and, if needed, the integral rules:…

A: a. Use the formula  to solve the given function as follows,   Simplify the expression as follows,…

Q: Find the indefinite integrals of the following functions. 2 sin(x) + 3 cos(x)

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Q: 16. Evaluate the integral:23 sin x dx.

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

Q: Example: Evaluate the following integrals. 1. / sin x cos" x dx 2. sin? x cos" x dx

A: To evaluate the following integral

Q: evaluate the definite integral.

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Q: Evaluate the definite integral. 1/2 + a? dx (a > 0)

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Q: 6. Evaluate the following definite integral using the fact that sin x dx = 1. S. | (2 sin x + 3) dx

A: ∫0π2(2sinx+3)dx Take integral for each term ∫0π2(2sinx+3)dx∫0π22sinx dx+∫0π23 dx2∫0π2sinxdx+3∫0π2dx…

Q: Using an appropriate substitution, the integral cos cos (ln(2x)) X is equal to dx - — cos(ln(2x)) +…

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Q: TT sinx sin 2x dx 2 cos x

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Q: (1) sin?x dx

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Q: Evaluate the following definite integrals sin 2x cos (sin x) dx

A: We know that2sinx cosx=sin2x

Q: 7/2 S/² sin(x/2) cos(x/3) dx

A: This question is based on definite integral.

Q: Evaluate the definite integral. * T/2 9 cos(x) sin(sin(x)) dx

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Q: Evaluate the following definite and indefinite integrals. (a) / sin(x) cos(x)ešin(=) dx (b) L. V5/2…

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Q: Evaluate the definite integral. '7 l'e e-x dx

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Q: Evaluate the following indefinite integral. -x-2 (a) dx dx (b) cos 0 sin Od0

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Q: Evaluate the indefinite integral -10 sin (x) cos(x) dx +C

A: Given:

Q: Evaluate the definite integral. esin (a) cos(x) d x

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Q: sin*(x) cos²(x)dx 4 CO

A: To evaluate the integral ∫ sin4(x) cos2(x) dx

Q: Evaluate the definite integral. e 1/x dx

A: Now consider,

Q: sin 3x cos 5x dx

A: ∫0π/8sin3xcos5xdx here we use formula  sinacosb = (1/2)[sin(a+b) +sin(a-b)]

Q: x dx x² + √√x²-1-1 The integral - (A) cose de can be transformed to which of the following using…

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Q: Find the following indefinite integral x^3 e^x^2 dx

A: Given integral

Q: Evaluate cos/dx 2 1) co S

A: