2 /x_ e-x/4 dx, T20

Q: sinh³ (x) cosh (x) dx =

A: we have to evaluate the integral ∫sinh3x cosh8xdx use the formulas,…

Q: ЗсoshЗx dx| 4 + sinh3x 1/3

A: Given: 13∫3cosh3x4+sinh3xdx

Q: 3.) Integrate using an appropriate technique: 24100 dx (show all steps) 4x2 + 24x+100

A: We have to evaluate

Q: Verify Eq. (2): cosh2 x - sinh2 x = l.

A: To verify Eq. (2): cosh2 x - sinh2 x = l.

Q: Integrate: S tan (æ) sec³(x)dx

A:

Q: dx

A:

Q: Express in exact form: In(x² + 1)dx

A:

Q: 4. fx(1-x) dx

A: We can find the integration as below.

Q: 2. COsh(4x)dx

A: We have to solve given integration

Q: . Estimate dx with an error less than 10-3.

A: Series sum estimation:

Q: 4(sinh 5. Evaluate 6 x) dx V1+x?

A: We use the well known formula for sinh^-1(x) = ln(x + sqrt(x^2+1)) and then integrate the…

Q: Find definite integral.

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

Q: 4 1 Y(s) = 5s2

A:

Q: dx Tx-1 4

A:

Q: 2 L sinh–t|= 3 6. 9s2 – 4 3 2s2-4 6. s² – 4 - 3s2 – 4

A:

Q: Find definite integral.

A: To find the definite integral: ∫153x-1+x-3dx Solution: Power rule of integration states that:…

Q: by separation method 3y Solue l dx²

A:

Q: (Use Simpson's Rule with n=4 to approximate 5x* dx

A:

Q: Verify Eq. (2): cosh 2 x - sinh2 x = l.

A:

Q: 1. ļ | sinh 3x dx

A: The objective is to evaluate the integrarion.

Q: Use Simpson's Rule with n = 4 to approximate 5x* dx.

A: The solution is given as

Q: Find upper and lower bounds for

A:

Q: Estimate x² dx using left endpoints for n = 4 approximating rectangles. 3 x² dx is approximately

A: The equation of the integral function is ∫03x2dx. The left endpoints is n=4.

Q: Evaluate definite integral.

A:

Q: rIn 2 cosh x dx. Vsinh a x + 4 sinh x +2

A:

Q: 3 dx V16-x²

A:

Q: 3 sinº x dx 4 Show that

A:

Q: Use an appropriate substitution to integrate 12 x*(x++ 1)°dx

A: The given integral is 12x3(x4+1)9.

Q: Ve 1 dx x/1 /1- (In x)² 1

A: To find the integration.

Q: aluc of 4 alue of dx. 1+(x – 2)? 1

A: See the details solution in below

Q: Find the value of the definite integral: 4x dx -2

A: ∫-254x3 dx

Q: Evaluate integral x^2e^-x^3 dx

A:

Q: dx 3-x

A:

Q: 1. [cosh(x)] = sinh(x) dx

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Evaluate ( Sech²(In x) dx

A: In this question we will use basic of calculus i.e concept of integration. First we will convert the…

Q: integrate x^4cotx^5 dx from 0.4 to 0.8

A:

Q: tanh 2x In (cosh 2x)dx

A:

Q: Integrate f sinh 2x dx

A: In this question we have to find Integration.

Q: for dx

A: Given integration is : ∫exdx To find the value given integration by parts.

Q: calculate the integral.

A:

Q: Find the indefinite integral

A: Consider the integral: I=∫sec42x5dx……1

Q: Match the graph with the first order differential

A: In this question we will use basic concepts of calculus i.e graphing of differential equation.…

Q: ㅠ -π sec xdx. 3

A:

Q: Evaluate 4 dx V4-x2

A: To find out the integration.

Q: What are the real-life applications of antidifferentiation or integrat

A: What are the real-life applications of anti-differentiation or integration?

Q: Jcos" (3x) sin (3x)dx in' (3x)dr

A: topic - integration

Q: - S sech-x tanh x dx 1 2 2

A: From the given problem: I=∫sech12x tanh12x dx=∫sechx2 tanhx2 dx....1 As we know that:…

Q: Integrate completely

A: Given,             ∫2x+12x-53dx