Evaluate 3. 12 tanx dx. S12tan'x 12 tan x dx =

Q: 18tan"x Sec-x dx (िकपन इ)"

A:

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

A: Known integral formula:

Q: Select the basic integration formula you can use to find the indefinite integral.…

A:

Q: Find the exact value of the integral. (No decimal approximations accepted) 1/2 x cos(x³) dx

A: Given problem is :

Q: Evaluate the definite integral. π/2 1- cos(2x) dx

A: Answer:-(1) Given the integral,     ∫sin2x cos22x dx=∫44*sin2x cos22x dx…

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

A:

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

A: Given:      ∫51+e2xdx

Q: 6) Evaluate cach integral by using trigonometric functions. dx a) 4x* +9 dx b) x² +10x + 26

A:

Q: Only one of these calculations is correct to evaluate the definite integral 4 | x? cosh(x) dx 0.…

A: Formula for Simpson's 1/3rd rule ∫baf(x) dx= h/3[(y0=+yn)+4(y1+y3+........+yn-1)…

Q: |x| 1 dx -1

A:

Q: Evaluate the integral. ∫0 π/2  Sin2 x Cos 2 x dx

A: Consider the given integral as Use the identity to solve the integral such that

Q: S cos(2x + 3)cos(3x – 5)dx

A:

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

A: Consider the following integral:

Q: What is the integral of x2(2-x)^(1/3) dx on the interval [1,2]?

A:

Q: Can we evaluate the integral of 1/(x^2+2x)^3/2 dx by using x= sec¿ - 1

A: Consider the equation

Q: 4. Evaluate the integral sin x cos x dx by two methods: first by letting u = sinx, and then by…

A:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) ∫(sin…

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: 5. Evaluate the indefinite integral. S cososin'oc (1) (3x - 2)20 dr (2) (3) S etanr sec?rdr

A:

Q: Find the value of the definite integrallo 2 cos ( x ) dx given that the antiderivative for the…

A:

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: Evaluate the indefinite integral given below. 2e3 sin (4z) cos (4x) dx Provide your answer below:…

A:

Q: What is the integral of sin^4(x)cos^3(x)

A:

Q: 12) S (z* + 2x + 1) dx 3 х2 + 2х +

A: Integration

Q: 3 4. sin x cos xdx

A: These formulae are used while solving the question:

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

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

Q: How do I calculate the indefinate integral of e^sinx(cos(x))dx

A: Given integral is ∫esinxcosxdx

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) | sin(76) sec (cos(7)) dt

A:

Q: Evaluate the integral. (Use C for the constant of integration.) 10 sin(2x) dx 1 + cos“(x)

A: Answer is -10arctan(cos^2x)+C.

Q: гл/2 (3 cos(x) – 2x) dx. л/2 Given that use this result and the fact that cos(x) dx = 1, together…

A:

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

A: Given,             ∫π40sin4tdt

Q: s/4 dx 2- 1+tanx 3.

A:

Q: /2 cos x -dx- 1+(sin x)? Compute the integral

A: Consider the following definite integral: ∫0π2cosx1+sinx2dx Substitute sinx=u→cosxdx=du in the above…

Q: sin(8x) + cos(7x) dx COS Зх — 5 sin dx 2

A:

Q: Find the general indefinite integral

A:

Q: S cos (2x) sin* (2x)dx a.

A: Solution: The objective is to evaluate the integral

Q: 2) sin9xcos10xdx 3) sin xcos xdx XCOS dx 4) S

A:

Q: Evaluate the definite integral: 2 1 de sin 0 + cos 0 +1

A:

Q: Evaluate integral of interval ln 8, 0 of ex d x

A: We have to evaluate

Q: sin 1+V dz

A:

Q: 5. sin² 4y cos? 2y dy

A: Given: I=∫0π4sin2 4y cos2 2y dy  ……1

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: Use integration by parts to find the indefinite integral ∫e2x sin 3x dx

A: Let  I=∫e2x sin 3x dxBy using the  Integrating by parts…

Q: Consider the definite integral 300x 1+ ex dx Determine the exact value of the integral (up to 5…

A: Given is the integral ∫010300x1+exdx. In order to solve the given integral first use by parts of…

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: Evaluate the definite integral. integral 0 to 1  ( x divided by 1+2x2) dx

A:

Q: (n) /* dx sin? 4

A:

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

A:

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

A: