dy x fanx

Q: Ex: evaluate fe-tt15 dt

A:

Q: 2(h+1)=6h-7

A:

Q: 6x Sxe хе dx

A: Using the integration by parts, it can be written as follows. ∫udv=uv−∫vdu

Q: Se csc x dx

A: Given: I=∫cosecxdx For evaluating given integral, we multiply and divide given expression with…

Q: 1 Find the intersection point for each of the following pairs of functions. a f(x) = x- 1, g(x) = 2x…

A: Solution: The objective is to find the intersection point of the given functions

Q: S(xcos?x + xsin?x)dx jt la

A:

Q: A system of equations is written in matrix form below: Q 3000 1000 R 12000 10000 b 2000 1000 3000…

A: We can solve this using gauss Jordan elimination

Q: If x = c| 2 is the complementary solution of the nonhomogeneous system 3 -2 X + 2 -2 -2t , then the…

A: We need to find the particular solution to the above problem. We are given the system of the…

Q: d. The probability that a person will be born between weeks 13 and 51 is P(13 27) = f. P(x 17 x <…

A:

Q: tan¬'(t)+2t² t > 0 t f(t) = t = 0 a ,btan-'(t) t < 0 Find any real number for both a, and b, that…

A: Consider the given function, ft=tan-1t+2t2t   t&gt;0a                     t=0ebtan-1t…

Q: Simplify S. dx V2x-3

A:

Q: B 43° A E

A: The angle subtended by an arc at the circumference of circle is half of the angle subtended at the…

Q: Evaluate [x³e³dx

A:

Q: Today, the waves are crashing onto the beach every 4.1 seconds. The times from when a person arrives…

A: Given a=0 b=4.1

Q: You want to see if it makes a difference which lane to be in when there is traffic. You randomly…

A: Given: As the data is uniform, so expected frequency is  sum of total frequenciesnumber of…

Q: Evaluate x²7² dx

A: We will use u.v rule of integration.

Q: Differentiate. y = 2/x (2Vx) = (2x)-] xp

A: In the question it is asked to differentiate the function y=2x. Here, it is asked to differentiate…

Q: If 5/x - 2/y = 1/6 and y = 3 , find the value of x

A: Given: 5/x - 2/y = 1/6 and y = 3

Q: 5. Let f(x, y)= P(X =x,Y = y), X = 2,3,4, Y = 1,2,3, 4 , where P is given by the table below: X = 2…

A:

Q: Suppose that the weight of seedless watermelons is normally distributed with mean 6 kg. and standard…

A: d. The probability that a randomly selected watermelon will weigh more than 6.5 kg is obtained…

Q: Find X X=?

A: We will find the value of X by taking all terms with X at same side.

Q: Evaluate f xlnx dx

A: To findI=∫xlnxdx

Q: Determine the length of the diagonals of the isosceles trapezoid below when AC = 7x – 9 and BD = 3x…

A:

Q: Find ?Va² - x2 dx

A: Explanation of the answer is as follows

Q: е. -5х dx e g. dx xlnx 10

A: We have to solve

Q: X 2 dx = V4-x2

A: I=∫01x24-x2dx =∫01(4-x2)+44-x2dx =∫014-x24-x2dx+∫0144-x2dx =∫014-x2dx+4∫0114-x2dx Here  ⇒∫a2-x2…

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.