Find the integral: 1 = (cosax cosnx) dx (A) I = a2-n? (C) I = (an) +n2 JAN a sinan cosna 4a sinan cosn

Q: 3. 4r sin(4r + 5) dr ( 4x10 + 2xª + 15.r" 4 + (3r r² + 1 – 5)") 4. dr

A:

Q: Find ∫ tan t sec2t dt  two different ways using the substitutions A. u=tan t B. u=sect C. Show…

A: Given: ∫tan(x) sec2(t) dt

Q: 3 sin x + 4 cos x +5**

A:

Q: dx Use trigonometric substitution to solve the integral

A:

Q: Integrate: So a sin(x²) dx

A: We have to integrate

Q: Show that D^2 = {(x, y) ∈ E^2: x^2+y^2 ≤ 1} ⊂ E^2 and the space containing a single point are…

A: In algebraic topology, two topological spaces are said to be homotopy equivalent if there exists a…

Q: Evaluate the integral | * elan(13-x) sec²(13 · x) dx 52 Write your answer in the form ea – b -

A: The given integral is ∫0π52etan13xsec213xdx. Let u=13x. Then du=13 dx. The lower limit will change…

Q: Evaluate the following: | sinh (t) 2 + sin (cosh(t)) dt

A:

Q: Find x and y for which the following equation is satisfied: x+2 = - 5+i i-5

A:

Q: dx 2sin x+3 cosx-5 Compute the integral.

A: we have to compute : ∫dx2sinx+3cosx-5

Q: cos ( - i ln3) is equal to, COS O 4/2 O 5/2 4/2 2. O 5/2 6. 4/2 23,

A:

Q: If the temperature at which a certain compound melts is a random variable with mean value 115°C and…

A: We have to solve given Questions.

Q: Find the integration: J* 1+sin X 4 dX Cos 2X

A: Introduction: Suppose, fx is a continuous function on the interval a,b. There is another…

Q: What is tanh (Ei) O V3 V3i O 13

A:

Q: Insec2 (sin2y) Which of the following is one of the correct steps to evaluate the sec2y A None (B In…

A:

Q: hat is the number equal to L sin (3rt) dt?

A:

Q: (c) /* sin 6. 3 sin Od0 (0)

A:

Q: Find the ComPlex integral:- Since the integral C means we have C, Cz (21)(2-2) (2-1) (2-2) C2

A:

Q: Evaluate x2 dx Select one: on O(sin (2r- 1) + 2(2 (2ain (r) + sin(2si To (stn(2 1I) 2(2r sin(2sin

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.