Find a value for n to ensure that the absolute error in approximating the integral x cos x dx by the midpoint rule will be less than 10-3.

Q: Use any method to evaluate the integrals ∫cot x/cos2 x dx

A:

Q: Evaluate the definite integral S (1+ 2x) dx using Riemann sum.

A:

Q: 28. f(x)=c cos x on the interval 0, (Round to ten-thousandths place).

A: f'(c)=f(b)-f(a)b-a

Q: Evaluate the definite integral.

A:

Q: Only one of these calculations is correct to evaluate the definite integral 4 | x? cosh(x) dx 0.…

A: Formula for Simpson's 1/3rd rule ∫baf(x) dx= h/3[(y0=+yn)+4(y1+y3+........+yn-1)…

Q: Find the indefinite integral.

A:

Q: Use integration by parts to evaluate the integral: sin(In(9x))dx 1 x(sin (In)(9æ))– cos(In (9x)) + C…

A:

Q: 12)Use the Trapezoidal Rule to estimate the integral ₁√x² - 1 dx using 4 intervals. Round to the…

A: Solve the following

Q: Evaluate the integral. ∫ x Cos 5x dx

A:

Q: Evaluate the integral.  integral sin 3  x cos 5x dx

A:

Q: x sin¬1 x² dx

A:

Q: 3. Determine the number of sub-intervals required to approximate 3 -x² dx e using the Trapezoid Rule…

A:

Q: Which integral should be used to find L {sin 3t}? a. sin 3t dt d. o -st sin 3t dt e b. Se-st sin 3t…

A:

Q: Find integral of sin^2 (x/2) dx with bounds of 0 to pi

A: Find the integral of sin^2 (x/2) dx with the bounds 0 to π.

Q: Evaluate the integrals cos x dx 5. / sin x

A: since u have asked multiple questions in a single request so we will be answering only first…

Q: Evaluate the definite integral: 7 dx 3

A: To evaluate the following definite integral.∫347 dx

Q: By using the definition of the definite integral, evaluate 27 1- sin2 x a) dx (use the left…

A:

Q: Evaluate the integral if it converges and enter the exact value. If the integral diverges, indicate…

A:

Q: x° cos 2x dx

A:

Q: Use a suitable substitution to find the indefinite integral S csc(sin 0) · cos(0)d0

A:

Q: Find the following indefinite integrals: (a) / x-4 sec² (x-3 + 1) /tan(x-3 + 1)dx;

A:

Q: Find the indefinite integral. S-x² + sin x – 3* dx | In |x| – - 3* + C COS X - 3 In 3

A: detailed solution is given below

Q: Evaluate the definite integral. sec (x/4) dx 0.

A:

Q: Evaluate the indefinite integral. (tan- x) dx = || 1+x?

A: Given integral is ∫tan-1x51+x2dx

Q: Evaluate the definite integral.

A: ∫15x2x-1 dx Consider, ∫x2x-1 dx Put, 2x-1=t⇒21-0=dtdx⇒2 dx=dt⇒dx=dt2 Therefore, ∫x2x-1 dx=∫t+12tdt2…

Q: Evaluate the definite integral. ∫(lower bound=π/4)(upper bound=0)sin(4t)dt

A: Given,             ∫π40sin4tdt

Q: set up an integral ....bounds x=3pi/4 x=-pi/4 y=-sinx and y=-cosx

A: GRAPH

Q: The integral of the given function | sin22x cos 7x dx is equal . ....

A:

Q: sech(In x) 9) dx

A: ∫15 sechln xxdx

Q: find the indefinate integral of sin^5(x)cos(x) dx

A: I = ∫ Sin5x  Cos x dxLet Sin x = tCos x dx = dt

Q: cos x | dx 7/3

A:

Q: Evaluate the integrals

A:

Q: Evaluate the integrals ∫16 sin2 x cos2 x dx

A:

Q: Evaluate the integrals ∫cos x cos 7x dx

A: To integrate: ∫cosxcos7xdx.  We know that cosacosb=12sina+b-sina-b. Therefore, using the above…

Q: Evaluate the definite integral using integration by parts.

A: Recall the following fact.

Q: Find the indicated midpoint rule approximation to the following integral. .3 2 sin 7x 2 x dx using n…

A: Calculate the delta x and the f(xi) for the given integral.

Q: Evaluate the integrals ∫sin3 x cos4 x dx

A:

Q: Use the definition of the definite integral to evaluate ∫02 (3x2 +1)dx. Use a right-endpoint…

A: As a first step, let's plot the graph of the curve given to us. Let's call the curve y = f(x) = (3x2…

Q: Evaluate the integral. 3 (H) arctan dx /1

A: The given integral is

Q: Find the indefinite integral ∫cosh √x / √x dx

A:

Q: Evaluate the integral. 10 3e -10 sinh(x) cosh(x) dx

A: We use Hyperbolic definitions of sinh(x) and cosh(x). Used that to simplify sinh(x)+cosh(x).

Q: Evaluate the definite integral. 7 dx 1

A:

Q: Evaluate integral 0 to pie sin 2 x cos 4 x dx

A: To Evaluate the integral given below:-I=∫0πsin2(x)cos4(x)dx

Q: S sin(2x) dx

A:

Q: Evaluate the definite integral. 1 dx V2-x

A:

Q: Find the indefinite integral ∫ [arctan(x/2)] / (4 + x2) dx

A: ∫arctanx24+x2dx Now put, arctanx2=t⇒11+x22·12=dtdx⇒11+x24·12=dtdx⇒44+x2·12=dtdx⇒24+x2=dtdx⇒14+x2…

Q: The approximation of 1 = f*cos(x³ - dx using composite Simpson's rule with n= 3 is:

A:

Q: x cos 5x dx

A: The integral is evaluated in detail below.

Q: Evaluate the definite integral S (1 + 2x) dx using Riemann sum.

A:

Q: Evaluate integral 0 to pie sin 2 x cos 3 x dx

A: Explanation: Given that,  ∫0πsin2xcos3xdx   Formula Used: Trig. identity:1-sin2x=cos2xSum rule of…