dx xVa² -x²

Q: integral of x^2 sqrt(27+9x^2) dx

A: Formulae used:1. sec2x = 1+tan2x2. ∫secnx = secn-2x·tanxn-1 +n-2n-1∫secn-2x·dx + c3. ∫secx =…

Q: -X -dx

A: We know, ∫uv dx = u∫v dx - ∫ddx(u)·∫v dx dx           (integration by parts) ∫1a2-x2 dx = sin-1xa +…

Q: Intergration of ∫(4/[X(1/3) + 2X(1/2 ]) dx

A: Explanation and solutions is given below....

Q: [ (2x–3v5) dx

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Q: cosh (x – 3) dx 2 '8 – cosh² (x – 3) х In x dx

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Q: int_{-2}^{1}|x+1|dx

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Q: definite integral ∫10 cosh3 3xsinh3xdx

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Q: Find the indefinite integral. (Remember the constant of integration.) dx xº - 8

A: Given query is to find the value of the integral.

Q: Trying to solve the for the integrand (antiderivative) of (ln x+7)/(x) dx

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Q: ap- 2. Calculate the indefinite integral: /dr =

A: our objective is to find the definite Integral.

Q: total differential

A: Given: The function is z=x4 e3y To find: The total differential of the given function. Formula used:…

Q: (x +4x' ?-6) dx

A: Explanation of the answer is as follows

Q: (Integral sign) x^2/ (square root of 9-x^2) dx

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Q: integral of tanx/(secx+4cosx

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.)   etan(38x) sec2(38x) dx

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Q: S xdx 2 -7-8x-x²

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Q: Indefinite integral x^7(4 + 5x^8)^{12} dx

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Q: Definite integral

A: Given :Definite integral

Q: Integral 1.

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Q: Using integration by parts, evaluate x³ In 5x dx

A: Solution

Q: double integral.

A: We have to solve the given integral ∫∫Rx cosy dA where R is the triangular region.

Q: 5 CSC x dx

A: Using following formula

Q: indefinite integral* 2tan4(x)sec6(x)dx

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Q: ar approximation or differential to approximate the value of 10 using the fact

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Q: Indefinite Integrals

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Q: Evaluate the indefinite integral. Use a capital "C" for any constant term. dx Preview %3D

A: The given indefinite integral is ∫9x8dx. Rewrite the above integral. ∫9x8dx=9∫x8dx

Q: integral (1-64x2)1/2 dx

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Q: triple integral

A: We have to sketch the solid E then find the triple integral. It is given that the solid E is bounded…

Q: ntegral of sec2x+tan2x dx

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Q: *indefinite integral* (2/(x + 2√ x + 1)) dx

A: ∫2x+2x+1dx

Q: Differientiate VE Xhr-3 * dy

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Q: 5. x' sin xdx

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Q: integral (1-3 square root of x)dx=

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Q: integral of x^2/x^2-5x+6 dx

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Q: indefinite integral* (26/(x-1)(x2+25)) dx

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Q: exact equation and find its first integral.

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Q: sinxdx

A: ∫sinxdx =-cosx

Q: Indefinite integral of csc(x)/csc(x)-sin(x) dx

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Q: 7. (xsin x'dx

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Q: 2 +. 10 |

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Q: | cos³5xsin17xdx

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Q: integral of x ln(x+1)

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Q: *indefinite integral* ((x2-x+4)/(x3+2x)) dx

A: The Given integral can be expressed as:  I=∫  x2-x+4x3+2xdx=∫x2-x+4xx2+2dx Now , separate each term…

Q: 1 6x² ex³ dx

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Q: x+13 dx х+4

A: 1) Evaluate: ∫3x2+14x+13x+4dx

Q: Integral of x^2-3x-7/(2x+3)(x+1)^2 dx

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Q: \int (dx)/(x^((1)/(2))+x^((1)/(3)))

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Q: g(x) = |sin x| ,[-n,n

A: