Prove that In (1tx) Lx for without using the value the orem. mean

Q: Use integral tables to evaluate the integral. S- 1 xp. xV64 - x2

A: Evaluate the given integral  ∫1x64-x2dx by using table of integrals as we know that from the table…

Q: The integral S dydx represents what?

A:

Q: Evaluate the definite integral.

A:

Q: Compute the definite integral.

A:

Q: Use the Simpson's Rule to evaluate the integral fx|x²dx 1

A: Given integral is ∫−11xx2dx. We have to evaluate the given integral by using Simpson rule. Here,…

Q: aluate

A: We have to evaluate the following integral.  c) ∫1(x2+1)32dxd) ∫1x3x2-1dx

Q: Evaluate the definite integral. dx x/ In x 64

A: Given definite integral ,∫e64e81dxln xxNow , ∫dxln xx   Let , ln x=z2 ⇒z= ln x         =…

Q: Evaluate the given definite integral using appropriate substitution: V2rdx =

A:

Q: Use the results of Section 5.2 to compute the following definite integral: 3x² dx

A: We need to evaluate the following integral ∫-453x2dx Formula Used : ∫abxndx = 1n+1bn+1-1n+1an+1

Q: compute the definite integral.

A:

Q: Evaluate the definite integrals. Requires a supporting analysis. S sva dx

A: Here f(x)=5xwe have to find the value of ∫095x dx∫09f(x) dx=∫095x dx=5∫09x dx=5∫09x12…

Q: Evaluate the improper integral : [* 4x°e=9¤*•

A:

Q: evaluate the following trig integrals

A: The given integral,∫0π4sec7x sin x dx

Q: Evaluate the integral: e3+ cosh2x33 + cosh2xsinh2x dx

A:

Q: lox e |

A: we integrate the given function . see 2nd and 3rd step.

Q: Evaluate the integ ral dx x "+ 4

A:

Q: S 2tanzx

A:

Q: Given the integral of- 2x with respect to x. x2+x-12

A: Please refer to the image below.

Q: Find all values of c that satisfy the Mean Value Theorem for integrals on the given interval

A:

Q: Evaluate the Integral / tanh (2x)đx. A @ --n|cosh(2x)| + C B -In|cosh(2x)| + C © 21n|cosh(2x)|+ C D…

A:

Q: 5. Evaluate x + v1 – x² dx by interpreting it in terms of areas.

A: We have to consider it as sum of two functions.

Q: calculate the following integrals, assuming bat जि Jo

A: Given query is to give eveluate the integral.

Q: 1. Evaluate the integral

A:

Q: Evaluate the following improper integrals: a) 3x+

A: In this given integral lim is 0 to infinity. And we find the value of this integral. We know that…

Q: Evaluate the integral. 3x In x' хр

A: Integration need to be done after proper simplification of the term.

Q: Evaluate the definite integral. rIn 3 8e-X cosh x dx

A:

Q: Evaluate the definite integral. S x3Vx² + 4dx

A: A definite integral is an integral  with upper and lower limits. It is restricted to lie on the real…

Q: Evaluate the definite integral. 64 dx x/In x 16

A:

Q: Evaluate the indefinite integral. 7 dt 7 (t + 4)"

A: Given,            ∫7t+47dt

Q: (2x-1 +3x²)dx

A:

Q: Evaluate the definite integral tª In(4t)dt 1

A: Here we have to use integration by parts∫uvdx=u∫vdx-∫dudx∫vdxdx  where u and v are function of x and…

Q: When the Simpson's rule is used to 2 S²x 0 approximate the integral absolute error is 2.6667 1.6667…

A:

Q: 4. Evaluate the integral e*+ydydx

A:

Q: evaluate using the appropriate method or combination of methods.

A:

Q: Prove that Cl(X – A) = X – Int(A)

A:

Q: Evaluate the definite integrals S(2sin(x)-3cos(x)dx

A:

Q: Evaluate the integral. S coth 7x) dx A) In sinh 7x *C B) In lanh 7x +C © } csch' 7x + C 7 In

A: The given integral is ∫coth7xdx.

Q: Evaluate the integral   upper 4 lower 9 of the (root of x) dx

A: To evaluate the integral

Q: Evaluate the integral.

A:

Q: S (e* - ) av

A: Solve the above integration.

Q: 10 + 10VX dx =

A: We know, ∫f+g dx = ∫f dx + ∫g dx ∫xn dx = xn+1n+1+C

Q: Evaluate the definite integral. 7 ° In(3t)dt =

A:

Q: Evaluate the definite integral by interpreting it in terms of areas 7 (2x – 8)dx

A: Given,

Q: Find the indefinite integral. 8x In (5x)dx

A: The given indefinite integral is ∫8xln5xdx.

Q: S 5(x2 + 3)²dx

A: To evaluate the integral: ∫015x2+32dx. Solution: Power rule of integration states that:…

Q: 5 Only one of these calculations is correct to evaluate the definite integral x² In(x) dx 1 Using…

A: First we have to find h and it's corresponding formula.

Q: Evaluate the following integral: 23: tanh 7tx dx

A: Given that: ∫tanh(7πx)dx

Q: Use an appropriate local linear approximation to estimate the value of the given quantity. In (0.99)…

A:

Q: Find the Deriv ative S(x) = 4x In (1x+ t6x)

A: Use product rule to differentiate it.

Numerical Integration

In a mathematical investigation, numerical integration comprises a wide group of calculations for computing the mathematical estimation of definite integral, and likewise, the term is moreover in some cases used to depict the numerical solution of differential equations. The most important aspect of this theory is error analysis.