1)using polar coordinates, calculate (x + y)dA R where R is the region to the left of the axis between the cicles + y = 1 and x² + y² = 4

Q: 1 j³ + 2 j=-0

A: Given that  ∑j=-∞∞1j3+1 consider the related integral ∑j=-∞∞1j3+1=∫Cdzz3+1 where the contour C. As…

Q: 2r +a*dx. 2.

A: Simpson's rule  ∫abfxdx=h3y0+yn+4y1+y3+--+2y2+y4+-- h=b-an, where nis multiple of 2. x1=x+h

Q: 16-y2 16 – 22-y drdy by using appropriate coordinate system. an

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Q: Зx2 +17х+32 S: dx х3 +8х2 + 16х

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Q: Use integration by parts to evaluate the integral:

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Q: Use a substitution method to evaluate the integral

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Q: Use numerical integration to estimate the value of 1 dr. 1 + x TT = 4

A: Given: prove that π=4∫0111+x2dx  for proving this we will solve right hand side  we know that…

Q: V1+ Vx

A: Given  The integration is I=∫1+xxdx   General integral : ∫1-x2+1dx=-12ln|x+1|+12ln|x-1|+c

Q: Write the integral with the order of integration reverse and evaluate the integral as attached in…

A: According to the limits of integration of the given interval, the region of integration is:

Q: Evaluate the integral: fé 2a sec e da

A: Given integral, ∫e2a sece2a  da

Q: Write expressions for the area enclosed by a curve interms of line integrals around .

A: Green's theorem transforms the line integral around C into a double integral over the region inside…

Q: Calculate the integral ∫coshx / 2+3sinhx /dx.

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Q: 7 1 dv = -7 V

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Q: Please find the integral f dr.

A: Introduction

Q: Evaluate the integral by the substitution rule

A: We have to evaluate the integral by the substitution rule…

Q: Write the correct iterated integral using horizantal Cross - sections y=3x y=x? ..

A: First we find limit of x and y.

Q: 1 Determine the convergence of the integral dr. (2-r)

A: To determine convergence of the integral  ∫0512−x13dx