| cos 3xcos 4.xdx 14.

Q: Find the following integral: S cos vx +2 dx

A:

Q: S(sin5 2x) (cos 2x)dx

A: To solve this integral, a certain substitution is done. The substitution of sin2x=u is taken and…

Q: Evaluate the following integral. J6 sin ³xcos 'x dx 6 sin °x cos 'x dx:

A:

Q: Evaluate the following integral. [10 sin x cos °x dx 3 X COS X dx%3D

A:

Q: sin x dx

A: This is a problem of integration. Based on the general formula of integration we will solve the…

Q: 20.| sin³ }xcos" xdx

A:

Q: 2, .cos' xdx 12. 2

A: Given: Let I=∫-π2π2 cos3x dx To Find: To evaluate the given trigonometric integral.

Q: Evaluate the following integrals sin³ (x) cos³(x) dx

A: Given ∫sin3xcos3xdx

Q: 1 sin Tx cos TIx dx 0,

A:

Q: Evaluate the following integrals.

A:

Q: Calculate the following indefinite trigonometric integral cos³(x) -dx J sen²(x)

A:

Q: Approximate the following integrals using Gaussian quadrature with n = 3 and compare your answers to…

A: Given ∫01x2e-xdx

Q: sin(6x) Vi? +4 dt 7

A:

Q: 2 X COS x dx ах

A: To integrate: ∫0π2x cos (x) dx

Q: Evalute the following integrals. (1) /; COs x -dx. 1+ sin? x 2

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: find formulas for the functions represented by the integrals.

A:

Q: Evaluate the following trigonometric integrals L cos³(x}sin³(x)dx a) ( sin (x) b) -dp- Av cos?(x)

A:

Q: Evaluate the given integral. ∫ (x cos x + x sin x) dx.

A:

Q: * Which of the following integrals will yield an inverse trigonometric function? ydy A 25+y2 B) none…

A: In option (A), If we substitute 25+y2=t2⇒ydy=tdt, then the numerator will be replaced by tdt and…

Q: S cos 2x dx

A:

Q: 2 x cOs x dx.

A:

Q: -aluate the following integral cln 2 cosh x UTM =dx. sinh? x + 4 sinh x + 2

A:

Q: Evaluate the following double integral sin (y) dydr

A: To evaluate the integral

Q: Evaluate the following integrals: dx dx dx ii) S 2 sinx+8 cos x a sinx+b cosx 1+tan x

A: (i)

Q: Evaluate the following integral T/3 sin x In(cos x) dx

A: We have to prove

Q: evaluate the integral.

A: To evaluate the given integral.

Q: ) 1 1 dx x – 1

A:

Q: evaluate the given integral.

A: To evaluate the given integral

Q: Determine the following indefinite integral. /) dx ,9 dx =

A: Given:                      ∫x5-x95dx               =∫x52-x95dx              =∫x52dx-∫x95dx…

Q: Evaluate the following integral: 1. sec^3x dx 2. sinx*ln|1+sinx|dx 3. (e^-x)cos2x dx

A: ∫sec3xdxApply integral reduction=sec2xsinx2+12·∫secxdx=sec2xsinx2+12lntanx+secxSimplifying,…

Q: 35 sin* xcos' xdx 13.

A: Given integral can be evaluated as shown below by using integration formulas

Q: Evaluate the following integral

A: Given  integral

Q: Evaluate the integral Se cos(2x)dx

A:

Q: sin xcos x dx 2 X COS

A: ∫sin2xcos2xdx

Q: Evaluate the following dennite integral 4 a) 3 2x +2 |dx

A: Given: The given integral is ∫142x+3xdx. Simplify the integral. ∫142x+3xdx=∫142xdx+∫143xdx

Q: use an appropriate substitution and then a trigonometric substitution to evaluate the integrals.

A:

Q: Use the table of integrals at the back of the text to evaluate the integrals ∫x cos-1 x dx

A: Given: I=∫xcos−1xdx

Q: 1 dx sin°(2x)

A: Solution:Given∫1sin6 2xdxFormula;d uv=vu'-uv'v2sin2x+cos2x=1∫xn dx =xn+1n+1

Q: 1. sin Va +1 dx

A: The integral function is ∫sin3x+1dx

Q: Find approximate value of the following integral by using the trapezoidal rul 10 " 10 sin(20x²)dx…

A:

Q: evaluate the following definite integral : , π/2 3 sinx cos x dx let u = 1 + 3 sin? x 1 + 3sin?,

A: Given,         ∫0π23sinxcosx1+3sin2xdx ;  Let u=1+3sin2x

Q: sin*(x) cos²(x)dx 4 CO

A: To evaluate the integral ∫ sin4(x) cos2(x) dx

Q: Evaluate the following improper integral or state that it diverges. 3 cos () dx

A: ∫2∞3cosπxx2dx=limk→∞∫2k3cosπxx2dx   Let, u=πxdu=-πx2dxdx=-x2πdu

Q: Evaluate the following integrals.

A: Given: The integral is:                                                                 I=∫sin x…

Q: Evaluate the following Integrals dx cosx 5+ +anx X.

A:

Q: Evaluate the following indefinite integral | 10 sin(x) – 2 cos(x) dx = +C

A:

Q: Evaluate the following integrals. 1. x sin r cos x dr.

A: topic - integration

Q: use an appropriate substitution and then a trigonometric substitution to evaluate the integrals.

A: Given that, the integral  I = ∫x dx1+x4  Let t = x2  dt = 2x dx dt2 = x dx I = ∫x dx1+x4 I = ∫11+t 2…

Q: Evaluate the following indefinite integral | 8 sin(x) – 2 cos(x) dx =

A: We have to find integral