Evaluate the following integrals. 1. x sin r cos x dr.

Q: Calculate f 6 sinx cos² x dx.

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Q: Q3. Evaluate ". -2n sin²0 de 5+4cos0

A: To Determine :-  ∫02π sin2 θ5 + 4 cos θ dθ

Q: Use the method of substitution to evaluate | 2x cos x? dx.

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Q: 3. Find each definite integral: A. S(x- 3x) dx | -1 B. ( 2cosx + 2sinx dx

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Q: H.W: Find y, y"and. y" for the fullowing -2X -xe 3- y=a Sin 3X 一ズ 2.y=eInx 4.y= In(Sex. = In (Sex…

A: Topic- Derivative

Q: dx x' +9 2. Use an appropriate trigonometric substitution to rewrite as J(a simplified trig function…

A: Solution: The objective is to find the value of given integral

Q: Evaluate: Jx?cos(2x)dx

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Q: Use the formula sin-(u) du = u sin-1(u) + /1 - u² + C to evaluate the following integral. x…

A: Now , we will solve the integral.

Q: Odd and Even Trigonometric Functions 1. cos³x sin²x dx 2. f secx dx 3. Stan ³x cos³x dx

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Q: Solve 0's X <360 for x, Such. that 7sinx 8. Sinx 10 ナ

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Q: 0.5 COS T - In(4 sin z) dz. J0.1

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Q: dx It sin x-cos x COS

A: To evaluate:∫dx1+sinx-cosx Solution: We know,cos2x=1-tan2x1+tan2x     ...(1)sin2x=2tanx1+tan2x…

Q: 3 sin x d.x 4 1. Show that

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