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: Using the integral definition, calculate the integral

A: Given that,

Q: g+y= 쓸 - zxe - 5

A:

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

A:

Q: Зx2 +17х+32 S: dx х3 +8х2 + 16х

A:

Q: Use integration by parts to evaluate the integral:

A:

Q: Зx3 +6x2+17х-5 dx х2+2х+5

A:

Q: Calculate the integral ∫tan2xdx.

A: Using the Pythagorean identity  sec2x - 1= tan2x

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

A: Given integral, ∫e2a sece2a  da

Q: Sx5V4+ x³ dx

A:

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

A:

Q: Write an integral that requires three applications of integration by parts. Explain why three…

A: Write an integral that requires three applications of integration by parts. Explain why three…

Q: 7 1 dv = -7 V

A:

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

A: First we find limit of x and y.