4x² 49 dx | Evaluate the integral: (A) Which trig substitution is correct for this integral? O x = sec(8) 49 -sec(0) 4 7 -sin(0) sec(0) 2 2 O x = sec(0) (B) Which integral do you obtain after substituting for x? Note: to enter 0, type the word theta. do (C) What is the value of the above integral in terms of 0? + C

Q: Math 152 metric IHU 3. In this problem we'll evaluate the integral cos²(z) sin³ (2) dr. (a) First,…

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Q: O x = 8 tan(0)

A: Given that : The integral is ∫25x2 x2 + 64  dx .

Q: to scroll to the next page. *** */2 Consider the following integral: sin(5x) cos(27r) dr. (a) form?…

A: topic - trigonometry and integration

Q: 16 – x2 dx - Evaluate the integral: 9x?

A: (A)  x=4sin(θ) (B)  19cot2(θ) (C)  -19θ-19cot(θ) (D)  -19arcsin14x-16-x29x

Q: what trig substitution is correct for 7 tan e 7sine 49sin e 7 sece 49 tane 49sece V49 9-r Write the…

A: Let I=∫49-x24x2dx To solve the above integral let substitute x=7sinθ…

Q: Evaluate the integral: fa°/25 – 2°dz (A) Which trig substitution is correct for this integral? Oz =…

A: The derivative of a function y=f(x) is the measure of the rate of y with respect to x. According to…

Q: x² – 81 dx tegral: ubstitution is correct for this integral? an(0) ec(0) n(0) sec(8) n(8) Can(0) ral…

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Q: Determine the following indefinite integral. S dx x√√81-x 18

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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.