Integrate the given function. You may need to use a trigonometric identity to change the integral into a basic trigonometric form. 1+ cos x dx, Osx< 1+ cos x 2

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Q: Evaluate the integral. /2 sin (0) cos (0) dO

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Q: Evaluate the integral. 7 sin?(t) cos“(t) dt

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Q: 4. Evaluate the trigonometric integral. sin³ 0 cos? 0 de 3

A: Given that,

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Q: dx can be transformed to which of the following when trigonometric substitution is used? (x²+4)² esc…

A: Given Integral is ∫dx(x2+4)2Let's substitute x=2tanθDifferentiate with respect to x⇒dx=2sec2θ…

Q: Evaluate the integral below using any appropriate algebraic method or trigonometric identity. 1/6…

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Q: Evaluate the integral. 17 sin?(x) cos (x) dx

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Q: Evaluate the integral 1 dx |(1+ sin æ)² Hint: Multiply the numerator and denominator by (1 – sin…

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Q: Q2: find the integral of trigonometric function cos sin* dx

A: Given the integral is ∫0πcos5xsin4xdx

Q: Evaluate the integral. You may want to consult your text for the trig identities, which may be…

A: Let the given integral is So,

Q: has the form - F(0)+ + C: What should be the value of e to make F(o)=0? The resulting integral of…

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Q: Determine the sign of the integral without calculating it. Draw a graph if necessary.

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Q: 2. sin'0 cos e d0

A: We have to find the integral

Q: *w/2 cos'x sin 2x dx

A: We have to solve the integral                                          ∫0π2cos3xsin2xdx

Q: Evaluate the integral. | æ sin(9r) dæ + C

A: Given,  ∫  x sin(9x)dx

Q: The resulting integral of sincos sine de has the form - F(@)+C· What should be the value of e to…

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Q: After an appropriate trigonometric substitution, the integral integrals? O sine. 24 (1-x²)³/2 da can…

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Q: Evaluate the integral. 2 sin ] x dx + C NOTE: Enter the exact answer in expanded form.

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Q: Evaluate the integral. 5e" sin x dx +C NOTE: Enter the exact answer.

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Q: 6 sin 5 |x cos xdx 2

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Q: To evaluate dx using trigonometric substitution, which of the following is the new integral form in…

A: Given integral is ∫x2-x2-1 dx.

Q: Evaluate the integral. 2 sin x dx + C NOTE: Enter the exact answer in expanded form.

A: I=∫2sin-1xdx

Q: The resulting integral of F(@) + + C. What should be the value of e to make F(e= sin -cos-sine de…

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Q: Integrate the given function. You may need to use a trigonometric identity to change the integral…

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Q: sinxdx if Which of the following integrals is obtained? X = Jó 1+cosx こ ド」N

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Q: Evaluate the integral si 3. sin° x adx. cos? 2

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Q: Find the value of the integral e* cos x dx Select one: a4 n4 .2

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

Q: Evaluate the integral. You may want to consult your text for the trig identities, which may be…

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Q: T 6. 1+sin 0 cos? 0

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Q: dx U x" Jx? +3 4

A: To find out the integration.

Q: Evaluate the given integrals. 2. S sin?x sin 2x dx

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Q: dx 9–x²

A: To solve the given integral we substitute first x by 3sin(θ) then again substitute cot(θ) by v, we…

Q: Integrate the given function. You may need to use a trigonometric identity to change the integral…

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Q: Evaluate the integral. | (sin? 0 + cos? 0)d0

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Q: Evaluate the integral. 5e" sin x dx +C || NOTE: Enter the exact answer.

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Q: Evaluate the integral sin3 x + cos? x + 1 dx sin? x (cos² x +1)

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Q: Sin X' cOS X dxN 9x2 16-x3 dx

A: 1. Given integral is ∫π4π3sinx·cosx dx Substituting  sinx=u ⇒cosx dx=du Hence, limits becomes,…

Q: s After an appropriate trigonometric substitution, the integral transformed into which one of the…

A: Concept: The trigonometric change: The trigonometric identities can be used to assess several…

Q: 4 CSC csc* x -dx 2 cot? x

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Q: Evaluate the integral by making exactly one u-substitution and applying any necessary formula(s)…

A: Given that: ∫cos8(9x).sin(9x)dx

Q: for the indicated integral, what would the first step be? sin't dt, Vcost Save a sine and convert…

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Q: Which of the following integrals will yield an inverse trigonometric function? e2x dx 4+e2x wdw (B…

A: Let I=∫19-16x2dxI=∫11-16x29dxI=∫112-43x2dxWe know tha…

Q: Evaluate the integral. 3 sin-x dx +C %3D

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Q: Find the integral ∫ x/ √(1 − x2 )dx using u-substitution.Then find the integral using trigonometric…

A: Given: ∫x1-x2dx

Q: Evaluate the integral. I sin sin (3x) cos(6x) dx = NOTE: Enter the exact answer. + C

A: We can answer the integration as below.

Q: Evaluate the integral. sin(0) do |t/4

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Q: db 2 – sin²(b) – cos²(b)

A: Solution:Given∫db2-sin2(b)-cos2bFormula;sin2θ+cos2θ=1∫dx=x+C

Q: After choosing the appropriate trigonometric substitution the integral du, becomes

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