tan" x, | tan"-x dx (n # 1) tan"x dx = n - 1

Q: 2. Using both trapezoidal and Simpson rule, find the approximate values for the integral S7 n = 20…

A: we nee to find ∫π4π2ln(tanx)dx,  n=20 a=π4=0.7854,  b=π2=1.5708 ,  y=ln(tanx)…

Q: Use integration by parts to evaluate the integral. f2x si sin(x) dx + C

A:

Q: Evaluate the integral. (Use C for the constant of integration.) 13 tan (x) sec (x) dx

A:

Q: Evaluate the integral. (Use C for the constant of integration.) 6 tan(x) sec³(x) dx

A: We have to find

Q: Q\ Use all your background to find the integral of the hyperbolic function: sinh ax -dx cosh bx

A:

Q: Find the area A of the region that is bounded between the curve f(x) = -2 sin () and the curve g(x)…

A: Given that we have to find the area of the region that is bounded between the curve f(x)=-2sinx4,…

Q: ) Use integration by parts to verify the reduction cosxsin x n-1 Scos" xdx=!

A: Here I=∫cosndx ⇒I=∫cosn-1x×cosx dx using integration by part;

Q: Evaluate the integral ſ sin x dx by the method of geometry.

A:

Q: The ingeral of 2 tan3(x) sec(x) dx

A:

Q: 2 Find the definite integral o tan(x)dx using strips of width for the trapezium rule correct to…

A:

Q: Evaluate the definite integral using (a) the given integration limits and (b) the limits obtained by…

A:

Q: For evaluating the integral x tan-lr dx, we apply integration by parts technique with the…

A:

Q: Evaluate the integral. (Use C for the constant of integration.) (3× – 5*) dx -

A:

Q: Evaluate the integral. (Use C for the constant of integration.) 9 cos X dx 3 + sin x

A:

Q: Evaluate the definite integral using (a) the given integration limits and (b) the limits obtained by…

A: Evaluating the integral using (a) The given integration limits: We solve it by using u-v method:…

Q: use integration by parts to establish the reductionformula.

A: Integration by part formula: ∫uvdx=u∫vdx-∫u'∫vdxdx

Q: Use the integration by parts to evaluate the integral. V3 2 sin-1 x dx 0,

A:

Q: Evaluate the integration: r sin(20)drd0 Over the area in the first quadrant bounded between two…

A:

Q: 10. Prove by using integration by change in variable the ff. integral: dx du = arcsec x + C xVx2 - 1

A: To show∫dxxx2-1=sec-1x+C.

Q: hat are the new limits of integration after applying the substitution u = 6x + x to the integral /…

A: Given query is to find the limit after applying the substitution.

Q: Evaluate the integral. (Use C for the constant of integration.) 11 tan“(x) sec (x) dx

A:

Q: Use integration by parts, together with the techniques of this section, to evaluate the integral.…

A: Given: Let, By the rule of integration by parts.

Q: Use integration by parts to prove the reductionformula.

A: We have to prove the reduction formula using integration by parts method: ∫xnexdx=xnex-n∫xn-1exdx If…

Q: 7 dx xVx + 1

A:

Q: * Using integration by parts, the integral sec dx is equal to @ secx +nlsecx + tanx| + C 1 1 secx+ A…

A:

Q: For evaluating the integral Jx tan-lx dx, we apply integration by parts technique with the…

A:

Q: Evaluate the integral. (Use C for the constant of integration.) 1- sin(x) dx

A:

Q: Evaluate the integral. (Use C for the constant of integration.) tan (x) cos7(x) dx

A:

Q: Use integration by parts to evaluate the integral. (7) [x sec x tan x dx

A:

Q: Evaluate the integral | -3(1 – tan?(x)) sec2 (x) dx Note: Use an upper-case "C" for the constant of…

A:

Q: Evaluate the integral. (Use C for the constant of integration.) 7 (1 – tan²c«) dx sec?(x)

A: NOTE: Refresh your page if you can't see any equations. .

Q: Approximate the definite integral using the Trapezoidal Rule n/4 tan x dx Trapezoidal

A: Since you have not mentioned the value of n and which rule to apply clearly. We will apply first…

Q: Evaluate the integral.   ∫0√3 arctan(1/x) dx

A: Given:∫03 tan-11x dx

Q: * Using integration by parts, the integral sec³dx is equal to 1 1 - secxtanx +In|secx +tanx| + C 2 1…

A: Use by parts method of integration

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: 2. Use the error formula to estimate the error in approximating the integral T/2 2 sin x dx using…

A:

Q: Use (a) the Trapezoidal Rule integral 1to 4    sin x dx                 with n= 5

A:

Q: 0.5 cos x In(3 sin x)dx = COS I %3D 0.1

A: Definition used -   U substitution - When there is a composite function multiplied by the…

Q: 2 Find the definite integral o tan(x)dx using strips of width for the trapezium rule correct to…

A:

Q: Evaluate the integral. (Use C for the constant of integration.) 5 tan(x)sec^3(x)dx

A:

Q: Use Romberg integration to approximate √² 2x² + x − 1 dx. Compute the Romberg table until Rij-…

A: The Final diagonal element is always consider the best estimate of the integral  I=∫abf(x)…

Q: Q7. Using Simpson's Rule evaluate the integral (√x+1) dx using 8 subintervals.

A: In this question,  we have to evaluate the integral ∫08x+1dx using 8 subintervals by Simpson's Rule.

Q: Using integration by parts, the integral f In(16x*) dx is equal to:

A:

Q: Evaluate the integral | 2 cos(In(x)) dx, x > 0 Note: Use an upper-case "C" for the constant of…

A: Given information: The integral is ∫ 2coslnxdx. Concept used: Integration by parts: ∫udv=uv-∫vdu…

Q: Evaluate the integral -5 tan (x) sec(x) dx Note: Use an upper-case "C" for the constant of…

A:

Q: What change of variable would you use for the integral sec-x -dx? 3 tanx

A:

Q: Use integration by parts, together with the techniques F, G Qof this section, to evaluate the…

A: Use integration by parts, together with the techniques F, G Qof this section, to evaluate the…

Q: Using integration by parts, the integral f In(8x2) dx is equal to:

A:

Q: Use the table of integrals to evaluate the integral. (Use C for the constant of integration.) 9 sec²…

A: This question can be solved using the concept of integration by substitution.

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.