3) Using the old "multiply by an equivalent of 1" idea... V1+sin x а) Evaluate the integral [Vi-sinx dr by multiplying the integrand by V1+ sin x and integrating the resulting simplified equivalent expression instead. T/2 | V1- sinx dx b) Use your answer from part a to help find the exact value of

Q: Integral: Evaluate -2 sin 2x xp= V9+ cos² 2x

A:

Q: Use an appropriate substitution to integrate 2. A sin u +c 12r'sin (x?– 2) +c © 12sin (x2- 2) +c…

A: To evaluate the given integral.

Q: m) -dx 1+sin(2x)

A:

Q: Solve each of the equations for x in the interv [0,2pi) A. Csc^4x-3csc^2x+2=0 B. Radical…

A: We have to solve the following equations for x in the interval 0,2π. A. csc4x-3csc2x+2=0B.…

Q: Find the indefinite integral by making the substitution = 8sec 0- x²-64 dx

A:

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.