The Composite Trapezoidal Rule Use the 100-segment trapezoidal rule to estimate the integral f (x) = e-*sin (x) from a = 0 to b= 3.

Q: Evaulate the intergral: ∫−10sec^2(x)tan(x)dx

A: Consider the given integral:

Q: Solve: 2 0 -1 0 2 -6 1 -2 -3 -2 0 1 -5

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Q: Show that : y' = 1 when y(x) = sin-(x) %3D V1– x2

A: Differentiation is done in many ways. Some of the rules of differentiation are illustrated below :…

Q: estion 9 Find the derivative of f(z) = 3z13 - 4+1. IDo? la sin (a) f' (x) =}

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Q: Evaluate [ ' x²(x³ + 8)¹ dx

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Q: help find crtical points of A'(x)= 2(1-2xtanh(x))sech^2(x)

A: Use the graphical approach to find the critical points for A’(x). At the critical points, the…

Q: differentiate the follouwing 243 a) f(x)=2x°-in/x|+3 arccos (X)

A: Since you have asked multiple questions in the same request, as per the policy, only the first…

Q: Find Let f(x,y)=In(1-(x^2/4)-(y^2/4))+ln(y-x). Df(domain) Write the answer in set notation. Sketch…

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Q: The function f(x) = |ax - b| + c|x| : x in (-∞, ol where Find the

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Q: scost 2.) Find the derivative: 1 (t) = (sin" (t²), e² ² lnt>

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Q: ntegral of arcsin((1/2)x)

A: Given: ∫sin-1x2dx

Q: What are the intervals of monotonicity of f(x) = arctan (2(x-1)) - ln IxI ?

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Q: Using integral table

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Q: The function f(z)=e^(-y) sin⁡x is analytic function

A: Here, f(x,y)=e-ysin x          =e-ysin x+i(0) So, let u=e-ysin x, v=0 Now, ux=e-ycos x and vy=0 So,…

Q: Evaluate / tan*(x) sec*(x) dæ.

A: I=∫tan3(x)sec2(x)dxsubstitute  tanx=udiffrentiatesex2xdx=du

Q: Help use change of variables to find image attached

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Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.