integrate x^4cotx^5 dx from 0.4 to 0.8

Q: > Evaluate the Antegral dx ax45x +2

A: Rewrite the given integrand as follows. 32x2+5x+2=32x+1x+2=22x+1-1x+2

Q: 70ot(*) e*dx e2x +1

A:

Q: 15.) X (2x+5) 2 dx

A: Indefinite integral

Q: Use linear approximation to estimate ln(.99)

A:

Q: dx

A:

Q: arccos 2x dx 3.

A: We will use integration by parts. The solution is given below.

Q: integral 4x sin 2x dx L

A: Given: I=∫4x4sin2xdx for evaluating given integral, we use integral by parts theorem according to…

Q: integral of 1/sin3x dx

A:

Q: A bacteria culture starts with 4 bacteria and grows at a rate proportional to its size. After 2…

A:

Q: Eualuate in tegral Só Vincy dx

A:

Q: What is the rate of change of y = In x at x = 10?

A: Explanation: Given that,  y=lnx   Concept Used: To find the rate of change we will find the…

Q: The integ ral csc(0.5) dx is equal to

A: Follow the procedure given below.

Q: Find indefinite integral.

A: Let the given integral be y - y = ∫x12+3x-23 dx      Identity to be used - ∫xndx = xn+1n+1+C

Q: Verify Eq. (2): cosh 2 x - sinh2 x = l.

A:

Q: Describe a first step in integrating x10 – 2r4 + 10x² + 1 -dx. 3x3

A:

Q: A rectangle has a length of 10 inches and a width of 4 inches whose sides are changing. The length…

A: Given:A rectangle has a length of 10 inches and a width of 4 inches whose sides are changing. The…

Q: A rectangle has a length of 1 inches and a width of 12 inches whose sides are changing. The length…

A:

Q: Estimate x² dx using left endpoints for n = 4 approximating rectangles. 3 x² dx is approximately

A: The equation of the integral function is ∫03x2dx. The left endpoints is n=4.

Q: 1. One leg of a right triangle decreases at 1 in./min. and the other leg increases at 2 in./min. At…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: A rectangle has a length of 11 inches and a width of 5 inches whose sides are changing. The length…

A: In the given rectangle  Width b = 5 inches Length l = 11 inches Length increasing rate dl/dt = 9…

Q: Find intregal indefinite dx =

A: To evaluate the given indefinite integral.

Q: A rectangle's length is increasing at the rate of 5 inches/sec, its width at 2 inches/sec. At what…

A:

Q: integral sin5xcos2x dx

A: ∫sin5x cos2x dx On simplification, we get ∫sin5x cos2x dx=∫sin4x·sinx cos2x dx=∫sin2x2·sinx cos2x…

Q: Find the indefinite integral. ∫ sinhx / (1 + sinh2x) dx

A:

Q: ntegrate: (In(2x) dx

A:

Q: Find the indefinite integral.

A: Use the substitution method and consider x2 as u. Differentiate both sides of u=x2 and substitute x2…

Q: Find the indefinite integral ∫coshx/sinhx  dx

A:

Q: Use an appropriate substitution to integrate 12 x*(x++ 1)°dx

A: The given integral is 12x3(x4+1)9.

Q: Ve 1 dx x/1 /1- (In x)² 1

A: To find the integration.

Q: Use integration by parts to solve tan-1(2x) dx.

A:

Q: Integral sinh2xcosh3xdx

A:

Q: How is ln x affected if x is multiplied by et?

A:

Q: A rectangle has a length of 11 inches and a width of 10 inches whose sides are changing. The length…

A:

Q: A rectangle has a length of 9 inches and a width of 10 inches whose sides are changing. The length…

A: Length of the rectangle, l =9 inches Width of the rectangle, w = 10 inches The length is increasing…

Q: (1-x²)-1/2 Arcsin x

A: We will integrate the given function using simple Integration method.

Q: for dx

A: Given integration is : ∫exdx To find the value given integration by parts.

Q: Find the indefinite integral ∫sec 4x dx

A: the given indefinite integral is: ∫sec4x dx we have to find the value of the given indefinite…

Q: A rectangle has a length of 7 inches and a width of 8 inches whose sides are changing. The length is…

A:

Q: Find the indefinite integral ∫ x2 sech2 x3 dx

A: We have to find indefinite intrgral  ∫x2sech2x3dx We have ∫x2sech2x3dx  Take x3=t⇒3x2dx=dt⇒x2dx=13dt…

Q: if 2 tanh x.In x = sinh' (sin x)+logcos dx dy Q5/ Find

A: To differentiate the given function.

Q: 2 cosh x+sinhx

A:

Q: Jcos" (3x) sin (3x)dx in' (3x)dr

A: topic - integration

Q: (a) Sizl=1 dz.

A: Here we use property of analytic function.

Q: Integrate completely

A: Given,             ∫2x+12x-53dx

Q: Give examples of basic integration using exponential rule

A: Give examples of basic integration using exponential rule Let us integrate an exponential function.…

Q: Integrate sinh2xcosh3xdx

A: Given : ∫sinh2xcosh3xdx

Q: Find the integral ∫dx / sinhx+2coshx.

A: Given Data The integral is ꭍdx/sinhx+2coshx.   Using the Weierstrass substitution in the given…

Q: 2. The diagonal of a square increases at the rate of 3 m/sec. How fast is the area changing when the…

A: Let the length of diagonal be y. so that, Now, Length of the side of a square be x. Using the…