Evaluate the integral (1+ sin t)' cos t dt using the substitution u = 1+ sin t. (1+ sin t)' cos t dt = +C

Q: Evaluate the indefinite integral; f Vtan 3x sec2 3x dx OA)-(2(tan [3x)^(3/2) ] /9 + C OB) I DON'T…

A:

Q: Use the tabular method to evaluate the integral - 2x – 1) cos(4x)dx

A: Introduction: Tabular integration is a technique for quickly integrating many parts in a row. One of…

Q: Evaluate the double integral sin(y' +1)dydx.

A: Use the change of order of integration to solve this problem.

Q: Evaluate the integral.  integral  sec  x  tan  4 x  dx

A:

Q: Evaluate the integral.  integral  sec 3 x  tan  4 x  dx

A: Given

Q: 14. Verify that f cotx dx = In(sin x) +C. (Do not try to solve the integral from scratch.) %3D

A: Given: verify that ∫cotxdx=lnsinx+c For verifying given integral, we integrate given integral

Q: Make a substitution to express the integrand as arational function and then evaluate the integral.

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 the integral m tanx 1+x?

A:

Q: Find the value of the definite integrallo 2 cos ( x ) dx given that the antiderivative for the…

A:

Q: Find the integral m tanx X, 1+x?

A: Given :

Q: Evaluate the integral: 2 So sin(4t - u) du dt

A:

Q: Find the indefinite integral ∫tan3 2t sec3 2t dt

A: We have to evaluate ∫tan32t sec32tdt Given integral can be written as: I=∫tan22tsec22t sec2ttan2t…

Q: dx so that the resulting integral is integrable? What should be the rewrite of the integrand of…

A:

Q: Estimate the error if cos Vt is approximated by 1 – in the integral , cos Vi dt. 4! 6!

A:

Q: tanx dx 2

A: =?

Q: x° cos 2x dx

A:

Q: Use the substitution u = 3x²-2 to find the following indefinite integral. Check your answer by…

A: We need to find integral.

Q: Find the derivative y= 0 to x^4 integral of cos square root of t dt show all work

A:

Q: Evaluate the definite integral. ∫0 π  Sec2 (t/4) dt

A: Given: ∫0πsec2t4dt

Q: Evaluate the integral.  integral  sec 2 x  tan x  dx

A: Given: I=∫sec2xtanxdx for evaluating given integral, we substitute tanx=t…

Q: Use integration by parts to evaluate the integral. 3æ sin(z)dx

A:

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

A: Consider,

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: 1+cos 4x dx 1-cos 4x 10.

A: Evaluate integral

Q: Evaluate the indefinite integral.   ∫ Sec3t  tan 3 t dt

A:

Q: Evaluate the following integrals: 1. f(cos x + csc² x)dx 2. f(tan x + sec² x) dx 3. (1+sec² x) dx…

A:

Q: Use the tabular method to evaluate the integral |(* + 2x – 1) cos(4x)dx

A: Given:∫(x3+2x-1)cos(4x)dx

Q: Evaluate the integral.  integral  sec3  x  tan  4 x  dx

A:

Q: Vsin x + 1 cos x dx

A:

Q: Evaluate the integral/ cos'x sin x dx using the substitution u = cos x. cos"x sin x dx =

A: ∫cos11xsinxdx

Q: Evaluate the integral + tan sec dt

A:

Q: Compute the indefinate integral. integral (1-sin^2(x))/cosx * dx

A: Consider the given integral.

Q: Evaluate the integral: f/2 sin(4t-u) du dt

A: To evaluate: ∫π2π∫0tsin(4t-u) du dt

Q: If the substitution x = sin y is made in the integrand of . - A dx, the resulting 1-x integral is

A: Put value in  given  integral

Q: Evalate the integral (tanx dx by using the reduction formıla of tangent fumction. х

A: Let u=tan(x). then x=tan-1u and  dx=tan-1u'du=duu2+1

Q: Solve the integral of arcsin(x) using integration by parts.

A: Given as

Q: Find the integral: J sec x tan x + cos x dx

A:

Q: Calculate the integral (sec(x)+ tan(x))² dx.

A:

Q: Evaluate the integral. integral   sec 6  t  / tan 3t dt

A:

Q: 20. Verify by differentiation that finx dx = x(In x-1) + C, then use appropriate changes of…

A:

Q: dt cos°(2 sin" 21)/1– 4r cos(2 sin2t

A:

Q: COS x dx 1+2 sin x

A: We have to solve

Q: Evaluate the integral. dx JSlx2 - 3 sin 1 33 x + C 3 sec1 |9x - 3| + C sec 1 19 x| +C * sec 13/5 x|…

A:

Q: Give the general antiderivative for the integrand in the definite integral (cos +1)dx. cos x

A: Simply integrate and put the limit than simplify.

Q: Make a substitution to express the integrand as arational function and then evaluate the integral.…

A: To find the integral: ∫sinxcos2x-3cosxdx Let substitute t=cosx Differentiating both sides,…

Q: Evaluate the integral

A: The given integral is: ∫3x1-cosxdx To evaluate this integral, consider x=t  .......(1). On…

Q: Use integration by parts to evaluate the integral: for 9t sin(t)dt

A: