Use the property to estimate the best possible bounds of the integral. II 4 sin*(x + y) dA, Tis the triangle enclosed by the lines y = 0, y = 2x, and x = 3. 4 sin4(x + y) dA <

Q: / 1 – x2 dx (c)

A: Given I = ∫1-x2x3dx    ......... (1) Integration by parts ∫u(x).v(x)dx = u(x)∫v(x)dx…

Q: use a geometry formula to find the exact value of the definite integral (x/2 +3)dx on interval[-2,4]

A: To calcute the value of the definite integral ,using geometric consideration (ie. without using…

Q: Use the Table of Integrals to evaluate the integral. (Use C for the constant of integration.) 16 +…

A: Integration by parts:∫uvdx = 4∫vdx - ∫[ddx(u)∫ vdx]dx

Q: Evaluate the integral ,(1 – x – 4x³ + 2x³) dx a) Analytically b) Single application of trapezoidal…

A: we have  f(x)=1-x-4x3+2x5 we need to find ∫-24f(x)dx  a) analytically b) using trapezoidal rule

Q: 14 Find the integrals using integration by parts. Lx(x + 4) dr --2

A: Given that:(a) ∫x(x+4)2dx

Q: |x| dx 1 X V1– x² -1

A:

Q: Use the Table of Integrals to evaluate the integral. (Use C for the constant of integration.) x…

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Q: What are the new limits of integration after applying the substitution u = 5x + z to the integral s…

A:

Q: 2. Using both trapezoidal and Simpson rule, find the approximate values for the integral In(tan…

A: We need to find the approximate values of ∫π4π2ln(tan(x))dx using trapezoidal and Simpson rule given…

Q: 2 sinh x Calculate the integral, J dx. 5+ 6 cosh x

A: Given :∫2sinhx5+6coshxdx

Q: 2. Using both trapezoidal and Simpson rule, find the approximate values for the integral In(tan x)…

A:

Q: Express the integral in terms of the variable u, but do not evaluate it. 9x/10 – x2 dx; u = 10 – x?…

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Q: Use IBP to evaluate the indefinite integrals. 1. ∫ x³sin x dx 2. ∫ sec³ x dx 3. ∫ x cot² x dx

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Q: Use the tabular method to find the indefinite integral. (Use C for the constant of integration.) (x…

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Q: Find the inde finite integral. (Use C for the constant of integration.) -5 dx (x2 + + 5)3/2

A:

Q: Evaluate the integral. (Use C for the constant of integration.) 4 tan(x) sec (x) dx

A: Given the integral, ∫4tan(x)sec3(x) dx = I(Say) Now, I=∫4tan(x)Sec(x)sec2(x) dx.........(1)  Now…

Q: Evaluate the integral. (Use C for the constant of integration.) | 2 tan (x) sec®(x) dx C must be in…

A:

Q: (a) Use the Midpoint Rule with n = 6 to approximate integral 8 x-6 S8 dx 6 x+8 ?

A: As per the instruction, we will be answering the first question. Given:

Q: Evaluate the definiteIntegral. integral 1/2 to 1 cosx^-2/x^3 dx

A: The given integral is ∫121cosx-2x3dx. Let u=x-2. Then, du=-2x-3. The lower limit will become…

Q: a) Use Trapezoidal and Simpson's Rule to evaluate the integral , (2x – 1)dx by taking n=4

A:

Q: Express the integral in terms of the variable u, but do not evaluat 3x/25 – x2 dx; u = 25 – x? NOTE:…

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Q: Evaluate the integral 8 dx x² V25 – x2 Note: Use an upper-case "C" for the constant of integration.

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Q: 2* csch (2*) dx J cosh(2*) – sinh(2*)

A:

Q: Use the trapezoidal or simpson's rule to approximate the value of the integral from 2 to 3 2/x^2 dx…

A: The value of a definite integral using the trapezoidal rule is given by: Here: Therefore:

Q: Evaluate the integral. (Use C for the constant of integration.) 10 sin(2x) dx 1 + cos“(x)

A: Answer is -10arctan(cos^2x)+C.

Q: The indefinite integral [ 4cotx dx is sinx 4 +C sinx А. В. -4tanx secx +C 4 +C sinx С. D. 4tanx…

A:

Q: Evaluate the integral. (Use C for the constant of integration.) | 2 tan*(x) sec (x) dx

A:

Q: 1 Evaluate the double integral by reversing the order of integration 3* sin(xy?) dydx

A: First, we will change the order of integration then we will solve it.

Q: Pls kindly help evaluating integrals by first differentiating Theorem Intergal(0,infinite)…

A: I am going to evaluate the given problem using the first differentiating theorem which also the…

Q: Match the integrals in the left column with the correct evaluation method in the right column. Using…

A: We have to match the left  column with the right column.

Q: Compute the indefinate integral. integral (1-sin^2(x))/cosx * dx

A: Consider the given integral.

Q: Evaluate the integral. (Use C for the constant of integration.) 7 (1 – tan²c«) dx sec?(x)

A: NOTE: Refresh your page if you can't see any equations. .

Q: erive Trapezoidal rule of integration and computethe following integral with this method with 6…

A:

Q: (b) 3 – cos(x) 2

A: Follow the procedure given below.

Q: .2 32. 8x dx, x > 8 -

A:

Q: Evaluate the integral 5(x – 9) dx (x + 5)(x – 2) Note: Use an upper-case "C" for the constant of…

A:

Q: 2. Use the error formula to estimate the error in approximating the integral T/2 2 sin x dx using…

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Q: 2. Use the composite trapezoidal rule to estimate the integral of y = sin(x) %3| from x = 0 to 2.…

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Q: -1Vx X. dx Vx cos

A:

Q: 3. Change the order of integration sin dydx. Hence, evaluate the integral. y

A: Sol ∫0π∫xπsinyydydxChange order of integration =∫0π∫0ysinyydxdy

Q: Calculate the integral approximations Ts and Ms for L'(In x)-2 dx. Your answers must be accurate to…

A:

Q: 0.5 cos x In(3 sin x)dx = COS I %3D 0.1

A: Definition used -   U substitution - When there is a composite function multiplied by the…

Q: Solve using iterated integrals. (with graph) Find the smaller area cut from the circle x2 +y2 = 25…

A: The objective is to find the smaller area cut from the circle x2 +y2 = 25 and x=3.

Q: 2. Estimate the integral using Simpson's approximation rule with n=4: sin t dt

A: To estimate:∫0πsint dtn=4

Q: use a double integral to find the area of the shaded region.

A: The figure is symmetrical about both axes. Therefore, initially the area of the shaded region in…

Q: 4) Reverse the order of integration in 2 2x x' dydx 0 x2 and evaluate the integral as an x-simple…

A: To reverse the order of the below integration. ∫02∫x22xx3dydx

Q: Evaluate the integral. (Use C for the constant of integration.) 9 sin(2x) dx 1 + cos“(x)

A:

Q: Use the Trapezoidal Rule withn=4 steps to estimate the integral. 3 16) dx Use Simpson's Rule with n…

A: 1.  According to the Trapezoid rule,…

Q: Use integration by parts, together with the techniques F, G Qof this section, to evaluate the…

A: Use integration by parts, together with the techniques F, G Qof this section, to evaluate the…