Use trigonometric techniques of integration to evaluate sinx cos'x dx. Write all your answer.

Q: ((cos 2x – sin? 3x)dx

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Q: Use the tabular method to find the indefinite integral.

A: Given :         Consider the given integration                           I = ∫ x+22 sin x dx

Q: sin° (3x) cos“ (3x)dx 4

A: The given integral is ∫sin53xcos43xdx.

Q: cosxdx sinx +sin3x

A: Given integral is  ∫cosxdxsinx+sin3x

Q: fx sin(5x)dx

A: use integration by parts take

Q: 23 dx V25 – x2

A: We integrate the function using trigonometry substitution.

Q: First make a substitution and then use integration by parts to evaluate the integral. (Use C for the…

A: Given integration is, ∫sin-1lnxxdx Let, lnx=t⇒1xdx=dt

Q: Use an appropriate substitution and then a trigonometric substitution to evaluate the integral.…

A: By applying  trigonometric substitution

Q: Evaluate the definite integral: cosx (1 – 2 sinx)² dx

A: To solve definite integral we take sinx=z then we substitute all the values of x by z ,then we…

Q: Verify the integration formulas ∫sech x dx = sin-1 (tanh x) + C

A: To verify: The integration formula, Formula used:

Q: - $x² cos(x³) dx

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Q: 4. sin 4x cos 3x sin 2x tan 3z dx

A: Given, I=∫sin4xcos3xsin2xtan3zdx I=tan3z∫sin4xcos3xsin2xdx now solve this integration we know,…

Q: Use the tabular method to find the indefinite integral. ∫(x + 2)2 sin x dx

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Q: sin(3 dx

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Q: sin 2ydy 4 – 3 cos 2y

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Q: Use trigonometric techniques of integration to evaluate | tan12x sec"x dx' %3D tan15x tan13x + C II

A: To evaluate the given integral use the substitution u = tan x  and the following formula.

Q: Integrate cot(r) In(sin(x))dx.

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Q: determine the integration c Sinx

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Q: Evaluate the following integrate 3 -dx 1+sinx

A: Multiply the expression in the given integral by (1-sinx)/(1-sinx) to evaluate the integral easily.

Q: Find the trigonometric integral ∫ tan2 x /sec3 x   dx

A: We have to integrate ∫tan2xsec3xdx We will put tanx=sinxcosx and secx=1cosx Given integral can be…

Q: sin Vx dx

A: we will use substitution method, integration by parts and basic integration formulas to solve this.…

Q: Use Integration by Substitution to find sin(x²) 2x dx

A: As per our guidelines we are supposed to answer only 1 question. Please repost other questions as…

Q: (3X dx =? Sinmply

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Q: Use integration by parts to find, x cos2x dx

A: Answer :

Q: Use integration by parts to solve tan-1(2x) dx.

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Q: Use integration tables to find or evaluate the integral ∫ 1 / (1 + tan x) dx

A: Given as- I=∫11+tanx To evaluate- The above integral using integration table. Identity Used-…

Q: use integration by parts to write the integral sec^7 (3x) dx in terms of integral sec^5 (3x) dx

A: ∫sec7(3x)dxPut 3x=uso 3dx=du=13∫sec7uduNow ∫sec7udu=∫sec5usec2udu

Q: evaluate the integral

A: Evaluate the integral by substitution method.

Q: Find the integral ∫dx / sinx+cosx.

A: Given Data The integral is ꭍdx/(sinx+cosx)   Using the tangent half-angle substitution in given…

Q: Use integration by parts to find, x cos2x dx 프2

A: Consider the given integral which is required to solve using integration by parts.

Q: Using integration, derive the La L(sinh at)

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Q: Find the product of the integral ri sec²(cos(x))dxdy sin-y

A: Given ∫01∫sin-1yπ2sec2cosxdxdy

Q: Evaluate π' sin(πα) da

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Q: Find the indefinite integral ∫sinx / cos3x dx

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Q: Evaluate the integral:∫sin3x dx.

A: The given integral is ∫sin3x dx

Q: 1 dx V1 – 4x²

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Q: Use integration by parts to evaluate /(3x+2) cos (2x)dr.

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Q: Use trigonometric substitution to solve the integral Jx*V1+x² dx

A: Note the results :     (Identity)

Q: Find the trigonometric integral ∫sec4(x/2 ) dx

A: To evaluate the trigonometric integral , ∫sec4x2dx Solution: Put x2=t in the given integral we get,…

Q: Use trigonometric techniques of integration to evaluate tan12x sec x dx tan15x tan13x + C

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Q: Find the indefinite integral and check the result by differentiation.                       ∫(sin x…

A: On integrating, we get

Q: sin' (2x) cos (2x)dx =

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Q: Which integral requires more steps to find? Explain. Do not integrate. ∫ sin8 x dx ∫ sin8 x cos x dx

A: ∫sin8x cosx dx can be directly integrated by using the substitution t=sinx. Therefore it requires…

Q: [sin(√5x+1)dx

A: Note: As per our company guidelines we are supposed to answer the first question. Kindly ask the…

Q: tan x 2 1-sin?

A: use the formula

Q: Is sinxV9+ cos2 xdx

A: To evaluate the value of given indefinite integral.

Q: sinh(cot(x)) x2 + 1 dx

A: To Determine: find the integration Given: we have ∫sinhcot-1xx2+1dx Explanation: we have an integral…

Q: Sxsin²xdx

A:

Q: = Evaluate Se cos 3x dx using integration by parts method.

A: Given,          ∫e-3xcos3xdx