cos 2x 62. dx (1+ sin 2x)²

Q: Find the indefinite integral in two ways. Explain any difference in the forms of the answers.…

A: If mentioned: Since you have submitted two questions, we'll answer the first question. For the…

Q: 18tan"x Sec-x dx (िकपन इ)"

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Q: sin 0 -d0 4+ cos 0 Evaluate

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Q: Evaluate the definite integral. π/2 1- cos(2x) dx

A: Answer:-(1) Given the integral,     ∫sin2x cos22x dx=∫44*sin2x cos22x dx…

Q: sin(ln 19x) x  I need to find the integral of this

A: The given integral is,

Q: Solve indefinite integral ∫ cos(πx)/sin^3(πx) dx

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) sin(2x) dx 27 + cos (x)

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Q: .2 x cos 9TTX dx

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Q: Find the indefinite integral using the substitution x = 3 sin(0). (Use C for the constant of…

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Q: (2+vx)² X dx Vx

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Q: Find the definite integral.

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Q: Evaluate the integral -4 sin(5x) sin(2x) dx

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Q: Find the indefinite integral using the substitution x = 3 sin(0). (Use C for the constant of…

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Q: 2) S cos? x sin3 x dx

A: The given integral is: I=∫cos2x sin3x dx=∫cos2x(sin2x)sin x dx=∫cos2x(1-cos2x)sin x dx

Q: Find the indefinite integral.

A: The indefinite integral ∫f(x)dx is the function F(x) such that F'(x)=f(x). The function F(x) is…

Q: 2х2 -бх+4 dx X-3

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Q: Evaluate the indefinite integral given below. 2e3 sin (4z) cos (4x) dx Provide your answer below:…

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Q: Solve the integral. sech x tanh x 9. 9 + sech? x

A: Given integral is I=∫sech x tanh x9+sech2xdx   Substitute sech x=t sech x tanh x dx=-dt Integral…

Q: How would I find the indefinite integral?

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Q: (3x² + 1 +) dx 2х2

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Q: 2 dx

A: Solution

Q: Find the indefinite integral. ( use C for the constant of integration) Sin(9x) cos(9x) dx

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Q: i ösin° ( 4x) cos (4x) cos" (2x)dx

A: To Solve the definite integral:∫0π45sin3(4x)cos2(2x)dx

Q: Evaluate the indefinite integral. 26 dx 7+2

A: The given integral is: ∫x6x7+2dx Let, x7=u Differentiate both sides of the above expression.…

Q: ∫(√(cos(x)) (sin^3 (x)) dx) what is the answer to this integral?

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Q: Evaluate the definite integral. "1/3 3 dx V1- 9x²

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Q: Find the indefinite integral using the substitution x = 2 sin(0). (Use C for the constant of…

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Q: Find the integral of sin(8x)sin(x)dx. (It has two correct answers)

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Q: Find the indefinite integral. ∫(x3 sin x)dx

A: Solution -  Given Integral -  y = ∫x3sinxdxIntegrating by parts, the formula is - ∫uvdx =…

Q: Evaluate the indefinite integral. 17 dx 9 + x2 Give your answer in exact form. Use C as the constant…

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Q: Find the indefinite integral using the substitution x = 4 sin(0). (Use C for the constant of…

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Q: Use integration by parts to solve the indefinite integral of [sin5xcos3x]dx

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Q: Find the general indefinite integral. (Use C for the constant of integration.) (7x + cos(x)) dx Need…

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Q: 12 cos6x. sin³ xdxCalculate "/2 3 the integral

A: It is integral problem.

Q: Find the indefinite integral. x cos 10TX2 dx

A: We can find the integral as below.

Q: Find the indefinite integral. ∫ (2 csc2 x − 9 sin x) dX

A: Consider the integrals, ∫2csc2x-9sinxdx

Q: 3/8 x sinx dx 5+x° 18

A: using the concept of even and odd function we calculate the above integral

Q: (-4 sec Xtanx-7sec K,

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Q: Evaluate the indefinite integral (3+3 sin2(x))/sin2(x) dx

A: topic - indefinite integration

Q: 8. x cos 2x dx 0. klea

A: Explanation: Given that,  ∫0π2xcos2xdx     Calculation: Let us assume u=2xx=u2differentiate both the…

Q: 5. sin² 4y cos? 2y dy

A: Given: I=∫0π4sin2 4y cos2 2y dy  ……1

Q: sec'x tan?x

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Q: (a) S sin(ax) cos(7x) dx 17x3 dx (b) Jo Tx4-b)²

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) sin (5x) J1+ (cos (52))…

A: Here we have to evaluate I=∫sin(5x)1+(cos(5x))2dx

Q: | sin(ax) cos(ax) dx

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Q: Find the indefinite integral by using the substitution x = 6 tan(e). (Use C for the constant of…

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Q: cos x -dx Compute the integral 1+(sin x)²

A: replace sinx=u cosxdx=du limits of u will be 0 to 1

Q: e3 cos 2x sin 2x dx

A: Given: ∫e3cos2xsin2xdx To determine: The value of given integral.

Q: Use integration by parts to evaluate the integral: sin( – 8r)dr - 05 e-r(sin(-8r) - 8 cos (-8r)) + C

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