Write as a single integral in the form f(x) dx. f(x) dx + 3 f(x) dx - f(x) dx

Q: evaluate the integral.

A:

Q: Evaluate the integral dx x"+ 4

A:

Q: Evaluate the integral ∫dx/ x√x4 - 1

A: We have given the integral;

Q: Evaluate the integral dx 2e 2x 3e2x

A: We have to find the value of integral: ∫ex2e-2x-3e2xdx Rewriting the given integral,…

Q: Evaluate the integral ∫dx / x2(x+1).

A:

Q: Write as a single integral in the form f(x) dx. f(x) dx FXx) dx - Ax) dx + -3 f(x) dx

A:

Q: Evaluate the integral ∫ dx x4−1.

A: C=integrating constant

Q: Evaluate the integral. dx =, x>6 x - 36 dx x²x - 36

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Q: Write as a single integral in the form f(x) dx: L f) dx + [* f(x) dx -[ ) dx

A: Recall the properties of definite integrals: Please pay attention to the last one i.e. "Adding…

Q: Evaluate the integral dx- 1+ x8

A: Given  ∫-∞∞x31+x8dx=?

Q: Find the integral ∫dx / x2√1−x2.

A:

Q: evaluate the integral (In (X )Ć dx X3

A:

Q: dx (x-1)/x²+3

A: From the given problem:   I=∫dxx-1x2+3 ...(1)   Now substitute in equation(1).…

Q: Find the integral of dx Vx+1

A:

Q: Evaluate the integral

A: Consider the following integral: ∫x1-x4dx Substitute u=x2→du=2xdx in the above integral:…

Q: Find the integral ∫ dx / x3+1.

A:

Q: Write as a single integral in the form f(x) dx. -2 f(x) dx + f(x) dx - . fx) dx

A:

Q: Write as a single integral in the form f(x) dx. la '2 '3 -1 f(x) dx + f(x) dx - f(x) dx -3 -3 f(x)…

A:

Q: Evaluate the integral ∫dx / x+3√x.

A:

Q: Evaluate the integral. dx 2x – 1

A: Let 2x - 1= u hence, 2dx = du Or, dx = du/2 when x = 2; u = 2 x 2 - 1 = 3 when x = 5 ; u = 2 x 5 - 1…

Q: Write as a single integral in the form f(x) dx 2 3 3 fx) dx f(x) dx -5 f(x) dx -5 2 f(x) dx

A: Given:

Q: xe dx

A:

Q: Evaluate the integral ∫dx / x2−x+2.

A:

Q: Evaluate the integral. -1x dx fcor-lx de 13) COS

A: Please rate and feel free to ask any query about any part of the question.

Q: Write as a single integral in the form f(x) dx. -1 f(x) dx + f(x) dx - f(x) dx f(x) dx

A: We are given: ∫-42f(x)dx + ∫23f(x)dx -∫-4-1f(x)dx  ----(1) We need to write this in a single…

Q: Ssin*(x)cos²(x)dx

A:

Q: Evaluate the integral. dx VI + x²

A: solution:-∫x1+x2dx=12∫2x1+x2dxusing ?-substitution methodlet, 1+x2=udifferentiate both…

Q: Write as a single integral in the form F(x) dx. 5. -1 f(x) dx + f(x) dx - f(x) dx F(x) dx 7.

A:

Q: Evaluate the integral dx ,2 2x x - 3x X

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Q: Write as a single integral in the form f(x) dx. 2 '3 -1 f(x) dx + f(x) dx f(x) dx -3 f(x) dx

A:

Q: Evaluate the integral of xe^(x^(2)) dx

A: To determine the value of the integral.

Q: Find the integral ∫dx / (2x−1)(x+3).

A: We use partial decomposition

Q: Evaluate the integral ∫dx / √(a2+x2)3.

A:

Q: Evaluate the integral -2x + 4 dx J (x² + 1)(x – 1) -

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Q: Write as a single integral in the form f(x) dx. -1 f(x) dx + f(x) dx f(x) dx -3

A:

Q: Evaluate the integral.

A: We have to evaluate the indefinite integral: ∫dxex1-e-2x Rearranging the integral,…

Q: Write as a single integral in the form f(x) dx. la 2 -3 f(x) dx + f(x) dx - f(x) dx -5 -5 f(x) dx

A:

Q: Evaluate the integral. dx (x² – 1)3/2

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Q: 6. Write as a single integral in the form f (x)dx: a 3 f (2)dx + / f(a | (x)dx – | f(x)dæ 2

A: Given- ∫-62fxdx+∫25fxdx-∫-63fxdx To Write- The above integral as a single integral in the form of…

Q: 3 dx ° (x+2)/x+1

A:

Q: 9. Write as a single integral in the form f(x) dx. '3 -1 f(x) dx + f(x) dx f(x) dx -4 f(x) dx

A:

Q: Evaluate the integral.

A: Evaluate: ∫1e x2+x+1x dx

Q: Find the integral ∫dx / √x2+x−2.

A:

Q: 9. Write as a single integral in the form f(x) dx. 2 5 -1 f(x) dx + f(x) dx f(x) dx -3 f(x) dx

A: The given expression is ∫-32fxdx+∫25fxdx-∫-3-1fxdx. Write the expression in a single integral. The…

Q: Evaluate the integral. -2x xe dx

A:

Q: 1 * dx 1+csc x

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Q: Write as a single integral in the form f(x) dx. -1 f(x) dx + f(x) dx f(x) dx f(x) dx

A:

Q: 1 dx 1+ 3x x2

A:

Q: Find the integral. J (x³ + 4x– 3) dx -

A:

Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.