To solve J- -dx using a suitable trigonometric substitution, the integral can be rewritten as fkg(®)de. V4+9x² Which of the following is the resulting integral of Jkøle)de? Oa. 1 In(sece +tan@) + c Ob. 1 In(secêtane) + c Oc. 1 In(sece + tane) + C O d. 1 (sece + tane) + C

Q: 2. Use trigonometric substitution to find each of the following integrals. Don't forget to go back…

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Q: P6. Use the trigonometric substitution to solve the following integrals. a) S dx x²-8x+1

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Q: Suppose F(x, y, z) = (y, x², 3) and suppose S is the surface parametrized by r(u, v) = (u, 3+v, 2 −…

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Q: 1. Jx cos 3x dx

A: Question 1 is solved. Solving more than 1 is against the policy.

Q: 7 31) S dx + 6x + 25 A) sin-15 sin B) tan- tan-1 2 1 tan- 1 tan-1 D) I tan 4 1 -1 C) 2 4

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Q: 1. Jx cos 3x dx Sx² cos x dx 2.

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Q: 1+I dx Which one is the best substitution for evaluating the integral f cos Oz = u? Or = cos 20 I =…

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Q: P6. Use the trigonometric substitution to solve the following integrals. a) S dx x²-8x+1

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Q: Find • Jesin xdx a fxsecxtan xdx e f de dx sinx

A: To find the integral

Q: Evaluate the integral 2e° coshod0

A: The answer of the integral is 0.78685

Q: 1 r+ 2 2-4x +9 2x +5 dx e)) + 8x + 25 =dx V3-2x-x 1 1 dx 25+ 9x J100-x² ²

A: These three parts can be solved using the formulas of some special integrals

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: 2) Evaluate each integral by using inverse trigonometric functions: 1 V16-x

A: We have to find the integration .

Q: Evaloate the integral by completing Vx²+4x+20 the square and using trigonometric substitutron.

A: by completing the square using trigonometric substitution

Q: Evaluale the integral SVISO +25x² dx USing trigonometric substitutron.

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Q: Ci-2)x OS how that dx = where cis constant of integratron abore or Otherwise Using find f ansurer -2…

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Q: The answer of integ ra Ssinzx cos3% dX

A: We have to evaluate the given integral.

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.