Pge Pleane schne dhe integped: VI-x" dx .

Q: tant dt 9,

A: To find the given integral ,use the substitution u=tan t .

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A: Given, ∫12∫121xdx dx

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A: Given : ∫2xcos2xdx

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Q: uong dutegre hon by Partial Fracthos 4 dx Cwalnałe

A: Method of long division and some basic integral formulae are needed in this.

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A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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A: Here we have to evaluate I=∫-∞∞dx16+4x2

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A: Let  I = ∫02πsin22xdx After applying exponent rule a2=a, we can write  I=∫02πsin2xdx Now we need to…

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A: The given integral is ∫x2-4xdx. Apply trigonometric substitution: x=2secu⇒dx=2secutanudu Now,…

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Q: Integrate § 8x^3 dx from -2 to 2 and explain (with a diagram) how this area could be 0.

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Q: 2. I cosh ix dx

A: The given integral is ∫cos14xdx. Evaluate the integral.

Q: TT sin 5. Approximate dx by Simpson's rule with seventh ordinates?

A: Simpson's Rule:    ∫abf(x)dx=∆x3f(x0)+4f(x1)+2f(x2)+...+2f(xn-2)+4(fn-1)+f(xn) Where, ∆x=b-an We…

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A: To integrate using tabular form.

Q: (2y) dy. CSC

A: We will start with the substitution, csc-1(2y) = x and apply the integration by parts. And, will use…

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Q: the inde Integrai. dx Vx -8

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A: as per our company guideline we are supposed to answer only one qs kindly post remaining qs in next…

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A: Integrate by using formula.

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A: The given integrals are 1. ∫dxx1-x2. ∫dxx ln x

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A: Given that     If y=x2 - 4x and x=√(2t2+1) We have to find dy/dt at t=√2 .

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A: Please refer the attached image for complete solution.

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A: NOTE: According to Bartleby's guidelines we can only do one question at a time. Please upload other…

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Q: calculate the derivative.

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A: Dear learner, as per our guidelines we can provide the solution for first one only. Kindly post…

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A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

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Q: luate:J(2x}-1)({3× }-1)dx }denotes. the fractional part.

A: We are asked to evaluate the integral.