Only one of these calculations is correct to evaluate the definite integral V sinx dx Using the Trapezoidal Rule with n=4

Q: Evaluate he integral isin (x+rJl dx

A: given integral, I=∫03π/2sin(x+π) dx we have to evaluate given integral

Q: Use Secant method with p, =1, p =1.2 to find the root of f(x)= ln x – cos x that is accurate to…

A: Solution:Let f(x)=log(x)-cos(x)a=1, b=1.2, f(a)=-0.5403, f(b)=-0.2832Here f(a)<0 and f(b)<0.…

Q: d all points on the graph of the function f(I) = 2 sin z + sin z, 0 <I< 27 at which the tangent line…

A: Given query is to find the points where tangent is horizontal.

Q: If given integrand is x² cos 2x dx and dv is equal to cos 2x dx, what is v?

A:

Q: Find the integral of ∫(sin2x - cos2x)2dx. Use trigonometric transformation or integration by parts.

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Q: Determine the constants a and b such that                                                       sin…

A:

Q: Use trigonometric substitutions to evaluate the definite integral 1 [5x²³√1-x² dx.

A:

Q: solve jn peaper

A: First, we need to identify the type of integral we are dealing with. The first integral is a product…

Q: If x has a value of -4, determine if the series converges (absolutely or conditionally) or…

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Q: Compute the area bounded by the cardioid r(0) =1– sin(0) on 0, Express your answer as a decimal…

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Q: 1=[", 64 cos(nx) dx x* -16 -08-

A: We have given integral, I=∫-∞∞64cos(πx)dxx4-16 We need to solve that integral.

Q: Differentiate O y = arctan √3x

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Q: Evaluate by 2Th COS30 S-4coso contour integration 20

A: Step 1: Step 2: Step 3: Step 4:

Q: 2 for sin x dx dx by dividing the interval into ten Calculate f equal parts using Trapezoidal and…

A: Step 1:Step 2:Step 3:Step 4:

Q: etermine the equation of your model that will pass 2,4

A: We already have the equation of polynomialand

Q: S sin4xVcos4x + 1dx

A: Let u=cos(4x)+1 Then du=(cos(4x)+1)′dx=−4sin(4x)dx  and we have that sin(4x)dx=−du4

Q: find Sexcos'x dx by using integral by Parts.

A:

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.