(c) Evaluate * sec x tan x dx using the table of standard integrals.

Q: Find the indefinite integral and check the result by differentiation

A:

Q: Use integration by parts to find the indefinite integral.

A: To find the indefinite integral I =∫xsec2x dx By using integration by parts, ∫fg'=fg-∫f'gf = x ,…

Q: Use the tabular method to find the indefinite integral.

A: Given :         Consider the given integration                           I = ∫ x+22 sin x dx

Q: S sinx In(1 + sin x) dx

A: Given problem:- ∫ sin(x) ln(1+sin(x)) dx

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

A: We have to find

Q: Evaluate the integrals using integration by parts. ∫x sec2 x dx

A:

Q: 2. Using both trapezoidal and Simpson rule, find the approximate values for the integral In(tan…

A: We need to find the approximate values of ∫π4π2ln(tan(x))dx using trapezoidal and Simpson rule given…

Q: Find the indefinite integral using the substitution x = 4 sin θ.

A:

Q: Evaluate the integral.  integral  sec 2 x  tan  3 x  dx

A: Consider the following integral:

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

A: ∫sec7x tanx dxu = sec7xdudx = 7 sec7x tanxdx = 17 sec7x tanx du⇒17∫1 du= u7substituting u = sec2x=…

Q: 2. Using both trapezoidal and Simpson rule, find the approximate values for the integral In(tan x)…

A:

Q: Evaluate the indefinite integral Fl the substitution rule 2x+3 dx Vx+3x+ 5

A: Topic: integration

Q: Use the tabular method to find the indefinite integral. ∫(x + 2)2 sin x dx

A:

Q: Find the indefinite integral ∫ 3√(tan x) sec2 x dx

A: ∫tanx3sec2x dx Now put tanx=t⇒sec2x=dtdx⇒sec2x  dx=dt

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: calculate the indefinite integral.

A:

Q: Evaluate the indefinite integral: ∫sec x tan x dx

A: Given indefinite integral is ∫secxtanxdx

Q: Evaluate the indefinite integral: ∫ sec2 x tan4 x dx

A: Evaluate the indefinite integral. ∫sec2xtan4xdx Let tanx=tsec2xdx=dt

Q: Calculate the indefinite integral: ∫ sec2 x dx

A: Integration is the process of finding the anti-derivative function of a given function. The…

Q: 4) What integrals lead naturally to inverse hyperbolic functions?

A:

Q: Evaluate the indefinite integral. tan (x) sec2(x) dx = +C.

A: SOLUTION-

Q: Find the indefinite integral ∫ (6 sec x tan x − 5 sec2 x) dx.

A: Given:  Let I=∫6 sec x tan x-5 sec2 xdx To Find: To evaluate the given integral.

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

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

Q: Evaluate the indefinite integral.

A: Consider the given integral I=∫sec3x·tanx dx

Q: Use Trapezoidal Rule with (n- 4) to find the integral dx x-1

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: Evaluate the indefinite integral. sec* (x)dx

A: We have to find the integral of sec^4(x)  Please see the explanation below

Q: What is meant by indeterminate integral

A: Definition: An improper integral is the limit of a definite integral as an endpoint of the…

Q: Evaluate the integral from -pi to pi of xsinx dx (integration by parts).  Thanks

A:

Q: Find the indefinite integral ∫sec2 (x/2) tan (x/2) dx

A: Given: I=∫sec2x2tanx2dx

Q: 1-sin 2x dx 2 x-sin x

A: Since you have asked multiple question As per our policy, we will solve the first question for you.…

Q: E^tan(9x) sec^2(9x) dx

A: Consider ∫ etan 9xsec2 9x dx. Put t=tan 9x. Now dtdx=9sec2 9x⇒sec2 9x dx=dt9

Q: Evaluate the integrals using integration by parts. ∫e-2x sin 2x dx

A: the given integral is: ∫e-2xsin2x dx we have to evaluate the integral by using integration by parts.…

Q: Pls kindly help evaluating integrals by first differentiating Theorem Intergal(0,infinite)…

A: I am going to evaluate the given problem using the first differentiating theorem which also the…

Q: Evaluate the integral ( Use C for the constant integration) ∫ 11 tan4(x) sec6(x) dx

A: I=∫11tan4x×sec6x dx=11∫tan4x×sec4x×sec2x dx=11∫tan4x×1+tan2x2×sec2x dx                      ⋯⋯(1)

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

A: Consider the given integral.

Q: 7) S (3x* – 5x2 + 2) dx

A: If you like the solution then please give it a thumbs up... The Answer is:   1.    3x55-5x3+2x+c·…

Q: Evaluate the integral of cosh2x(sinh 2x)^2 dx

A: ∫cosh2xsinh2x2dx

Q: Evaluate the integral. (Use C for the constant of integration.) 8 tan(x) sec³(x) dx

A:

Q: Determine the indefinite integral. sinh x dx J cosh x+6 sinh x dx = cosh x +6

A: Substitute the denominator with other variable and solve like normal integration. Here Sinhx &…

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

A:

Q: Find the area under the loop of the curve y2=x4(x+4) using integration

A: An integration formula for calculating the area under the curve will be used. We will calculate the…

Q: Find the indefinite integral C sec x tan x +3 sec x) dx.

A:

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

A:

Q: Use Property 8 of integrals to estimate the value of the integral. ∫20(x3-3x+3)dx.

A:

Q: Evaluate the integral -dx sinx-cosx

A:

Q: 1 dx. cosh x

A: Rewrite the integral and using substitution method, we calculate the given improper integral.

Q: Use integration by parts to find the indefinite integral ∫x sec2 x dx

A: Given: ∫x sec2 x dx

Q: 7 (x +7) In@) dx

A: