Give an expression for p (x) so the integral p(x) cos(7x) dx can be evaluated using integration by parts once.

Q: Find tan-1 x2 -dx using integration by parts.

A: Integral by parts

Q: find integration: S x² dx O x?/3 O x*/3 O none of the above

A: We need to evaluate the following integration ∫x2dx Formula Used : ∫xndx = xn+1n+1

Q: dz. 2ª + 9 tegrate

A: The integration of the integral x/√(x4+9).

Q: S sec x dx Use Integration by parts to solve

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Q: Integrate 1. S the following: (x²-3x²) dx (x4-4x3+2)3 3 √x-2 z² 2 2. S dx 3. S dz 4 √73-2 3.

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Q: Integrate: f'(x) = 4x¯½. A. 2√x + C B. 8√x + C C. √x + C D. -√4x + C 2

A: Integrate: f′(x) = 4x-1/2

Q: x2+1 - dx x4-x²+1

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Q: Integrate (2x - 5) with respect to x from x = 2 to x = 5.

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Q: Show that d/dx(x arcsin x+√1−x2) =arcsin x.

A: We separate the differentiation with both parts

Q: Evaluate 4xcos 3x dx by using integration by part.

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Q: - 1) (2r + 1)½ (4x – 1) dx Perform the Integrations

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Q: find the diferential of the function when x = 2 and dx = 0.1 f(x) = 3 / (x-1) ^ 2

A: Given that f(x)=3(x-1)2 Take the derivative with respect to x, dfdx=-6(x-1)3df=-6dx(x-1)3

Q: Find a > 1 to express y = 3(2/9)x in the form y = 3(a−x)

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Q: Estimate the value of df/dx for f(x) = root 8x at x = 3, using any method

A: To find the derivative of f(X), differentiate with respect to X on each side.

Q: ④ pct) = UPID 휴 UPID 쮸 avpFp(1- ) VPPLI ) VPIPL S ㅇ VD IP (2-2) -제 P= 1/4 √ P(t) dt → 0 S₁ ←…

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Q: te the following: 2x dx x - 4 dx

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Q: [(4x+1)*] =] %3D dx

A: