f(csc x cot x + 3x2)dx csc x – x3 + c csc x + x3 + c - csc x + x3 +c .3 x° + c O cotx + x3+c

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A: According to the Leibniz rule, we have: ddx∫u(x)v(x)f(t)dt=f(v(x))·ddx[v(x)]-f(u(x))·ddx[u(x)]

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Q: Find the general solution: (x^2D^2 + 6xD + 6I)y = x^2

A: Find the general solution: (x^2D^2 + 6xD + 6I)y = x^2 Given D.E., x2D2+6xD+6)y=x2⋯(1) which is…

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Q: vei The ldentit CX Tanxt SEEX-CSCX Tanx-

A: Prove the identity.

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A: Let,Writing linear expression in terms of x

Q: 2.) (6x*y+z")² 10

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Q: Sec(-150)

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Q: Find the values of sec-1(-3)

A: Givensec-1(-3)

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A: Topic -Derivative of a function We are given, f(x)=xx+cxwe know thatddxuv=vu'-uv'v2    [ u and v are…

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Q: 2x³-3x²-6x47 вхая

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Q: 4x^2 - 10x + 4y^2 + 9y - 5 = 0 Find (h,k) and the radius.

A: 4x^2 - 10x + 4y^2 + 9y - 5 = 0 Find (h,k) and the radius.

Q: Integrate (x2+2)(9x3+6)

A: Given that: ∫(x2+2)(9x3+6)dx

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Q: If f(x) = 3x- x^2+2, find the value of: a.) f(0) b.) f(3) c.) f(-3) d.) f(-7) e.) f(3/2)

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Q: sCx²-(4x+d)" (2x-4)dx

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Q: Secza (3tan 2a - 4seczx blx

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Q: 8y" +45y" 128y' - 720y = 5e-5t y(0) = 0 y' (0) = 0 y" (0) = 1 into an algebraic equation by taking…

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Q: 29. P(x) = x°(x + 2)(x – 3)²

A: 29. Given polynomial function, Px=x3x+2x-32 To sketch the graph of this polynomial function.