I Braluate th FOllowing integralis 3+cos (logqx) dx x sin (loga x )

Q: Find the indefinite integral sec* 7x dx.

A: To find the indefinite integral of ∫sec47xdx

Q: Find the integral. er sin(5x)dx - IT

A: Known integral formula:

Q: (24) Evaluate the integral: | Va sin(1 + x/2)dx.

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) secó 4x tan 4x dx

A: Use substitution tan(4x)=t

Q: Find the indefinite integral.

A: According to power rule of integration .

Q: Find the indefinite integral. (Use C for the constant of integration.) 3 sin 3x dx

A: The integral is ∫ 3sin3xdx By using the constant-multiple rule, ∫ c f(x) dx =c∫f(x) dx Here c = 3 ∫…

Q: Find the indefinite integral. ​ integral of sin^3(4x)*cos^4(4x)dx

A: Important points for the question: 1. sin2 x + cos2 x = 1   sin2 4x + cos2 4x = 1 2. ∫xn.dx =…

Q: 2. Evaluate the integral / sin'at dt

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) 2 tan 20 dx sec 20

A:

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

A: Consider the following integral:

Q: Find definite integral.

A: The given integral can be solved by the method of substitution. The substitution that will be used…

Q: 1. tan 2x dx

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Find the indefinite integral by making a change of variables.                             ∫ cos3 2x…

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 definite integral. 1. S(sin(2x) – cos(2x)) dx

A:

Q: Find the indefinite integral.

A: Consider the given indefinite integral: I=∫sinxcosxdx Here, the objective is to evaluate the value…

Q: Find the indefinite integral S(2x2 – 1) sin(5x) dx using integration by parts.

A: The given integral can be split into two parts as follows, ∫2x2-1sin5xdx=2∫x2sin5xdx-∫sin5xdx…

Q: calculate the indefinite integral.

A:

Q: Find the indefinite integral ∫cosh2 (x − 1) sinh(x − 1) dx

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) sin 4x sin 3x dx

A: We know sin A·sin B=12cos(A-B)-cos(A+B) ∫cos ax dx=sin axa+C  where C is constant of integration.

Q: Find the indefinite integral. (Use C for the constant of integration.) sin 3x sin 2x dx

A:

Q: Find the indefinite integral using the formulas from Theorem 5.25. (Use C for the constant of…

A: We need to evaluate integral.

Q: Find the indefinite integral. (Use C for the constant of integration.) sin 5x sin 4x dx

A:

Q: Find the indefinite integral

A: To find the indefinite integral: ∫sinx7+cos2x dx Solution: Let substitute t=cosx Differentiating…

Q: Evaluate the integrals ∫(sec2 x) etan x dx

A: Evaluate: ∫sec2xetanxdx

Q: Find the indefinite Integral. (Use C for the constant of Integration.) sinh(3 – 6x) dx

A:

Q: Find the indefinite integral ∫sinh 6x dx

A:

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

A: Given,             ∫π40sin4tdt

Q: Find the indefinite integral S (8x2/3 + 5* – cos(x))dx and verify the result by differentiation.

A:

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: Find the indefinite integral. x cos 10TX2 dx

A: We can find the integral as below.

Q: Find the indefinite integral. Solution in handwritten. 1. secy (tany - sec y ) dy

A:

Q: Find the indefinite integral. ∫sec x/2 dx

A: Given ∫sec x/2 dx. We need to evaluate the above integral.

Q: Find a particular function which is an indefinite integral for: (7x + sec(x) tan(x))dæ

A: Given that: ∫(7x+secx.tanx)dx

Q: S tanʼx dx

A: Answer is given in next step.

Q: Find the indefinite integral. (Use C for the constant of integration.) sec' 4x tan 4x dx

A: Topic- integration

Q: Let the domain of the function f(x) = log4 (log, (log3(18x – x² – 77))) be (a, b). Then the value of…

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: Find th Integral. for the constant of Integration. |(7 cos(x) – 2 sec?(x)) dx

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: 17) S(4t² + 3)² dt

A:

Q: Find the indefinite integral ∫sec 4x dx

A: the given indefinite integral is: ∫sec4x dx we have to find the value of the given indefinite…

Q: Evaluate the indefinite integral 4(1 + tan(t)) sec2(t) dt Note: Any arbitrary constants used must be…

A: We need to calculate the integral: I=∫41+ tan t5 sec2t dt This integral can be evaluated as follows:

Q: .find the integral by Gamma fun y(-Iny)5 dy

A: Gamma function is defined as Γ(x)=∫0∞xn-1e-x dx .               Disclaimer: Since you have asked…

Q: Find the indefinite integral by using appropriate substitutions. (In(sin.x) dx tanx 1) (n(sin(x)))?…

A:

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

A: Given integral, ∫sec53x tan3x dx

Q: sin(3x)sin(4x)dx Ssin(3x)cos(4x)dx Jcos(3x)cos(4x)dx

A:

Q: To evaluate the integral cotx log(sinx) dx we use the substitution O a. sinx=t O b. logx=t O c.…

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…

Q: Find the indefinite integral. (Use C for the constant of integration.) sin(2x) cos(2x) dx

A: