9. tan 2x dx 5.

Q: evaluate the definite integral.

A: We rewrite the given integral using the double angle formula

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A: Given query is to find integral to verify the inequality.

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Q: Evaluate the integral. | 17e3 cos(2x) dx + C NOTE: Enter the exact answer.

A: SOLUTION-

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A: To evaluate the the given integration .

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

Q: •34 dx J. (* – 2)4/5

A:

Q: Evaluate the integral: 3 9x dx

A: Given,          ∫3-9x2dx

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A: We have to solve the given definite integral: ∫123y2+y-1y2dy Rewriting the integral and solving the…

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Q: Evaluate the definite integrals by u-substitution. In5 fe (3-4e*) dx a. 2 cos 3x dx b.

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Q: Solve the integral. sec? x dx tan? x + 4 tan x 5.

A: Given: Let I=∫sec2 x dxtan2 x+4tan x To Find: To solve the given integral

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A: This question is purely based on integration in which we have to simplify, firstly trigonometric…

Q: Q2: Solve the following integrals: (3) dx

A:

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Q: Q2) Find the integral of: 6 tan*x dx

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A:

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Q: Evaluate the integral. 4.x V1 - x2 dx = 0. NOTE: Enter the exact answer.

A: Given: I=∫014x31-x2dx  ...1 Using substitution method to solve the given integral. Let,…

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A:

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A:

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A:

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A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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A: Given,

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A:

Q: 4. Evaluate the integrals. Simplify your answers. 3x+5 dx x+9 е.

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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.