-5x sin(2x) dx

Q: 1 S cos³ 3x sin' 3x dx

A: The given integral is: I=∫cos33xsin43xdx   ...1   We know that; The Power rule: ∫xndx=xn+1n+1+C

Q: | (5cotx – sin x) csc² x dx

A: Given integral is: ∫5cotx-sinxcsc2xdx Rewriting the integral:…

Q: S cos³ x sinxdx

A:

Q: x – sin 2x -dx x + cos2x

A:

Q: -sin(4x²) = dx

A:

Q: 2. tan3x(sec3x – cos3x) dx

A:

Q: x sin 4x2 dx

A: Integration is a process of finding the antiderivative of a function. There are basically two types…

Q: x sin 3x² dx

A: Our Aim is to integrate the following integral given below:-∫x sin (3x2) dx -(i)

Q: 1-cosx Sin 2x dx

A: Given:  To Find: To evaluate the given integral.

Q: Find integral.

A: We can integrate this expression by using integration by parts technique . From integration by parts…

Q: (b) ( cosx) = -sinx dx

A: To Determine: find the derivative of cosx Given: we have a function cosx Explanation: we have a…

Q: 1) | 2x cosx 2) | tan³x sectx dx x - 3 3) x3 - 4x dx

A:

Q: ( 2sinx sin(2x) dx

A: Given,        ∫2sin2xsin(2x)dx

Q: ∫((cos3x)/(1-sinx))dx

A: We have to find the integration.

Q: - Se-3x sin 4x dx

A:

Q: S cos³ 3x dx со

A:

Q: Find integral.

A: Consider the indefinite integral ∫-6x cos 5x dx Use the integration by parts to solve the indefinite…

Q: x sin(2x2)dx

A: We have to find the integral.

Q: Find fe2" sin(2x)dx

A:

Q: 1 dx 6- cos²xsin²x

A: use trigonometric identity to prove the integral

Q: 1. [e-2x sin 2x dx

A: As per the instruction, we will be answering only the first one. For (1),      ∫…

Q: sin(7x 2) dx cos2 (7x 2)

A: Let u=cos(7x+2)differentiate both sides w.r.t. x.Use chain rule for cos(7x+2)From there we get du/-7…

Q: | e3* sin(2x)dx

A:

Q: Cos^3(3x) dx

A:

Q: x² sin 2x dx

A: From integration by parts method we know that, ∫udv =uv-∫vdu From given date ∫x2sin2xdx  Let u= x2…

Q: ∫√1 - sin^2 x dx

A:

Q: Find Dg sin° (7x). 3

A:

Q: -dx 1 – sin(0)

A: To evaluate the integral.

Q: 2x sin-1(x²)dx =

A: This question is taken from the indefinite integral in which we have to choose the correct option…

Q: A. sin(3x) dx

A:

Q: 5. Ò sin(x- )dx

A:

Q: 71. cos³ 2x sin 2x dx

A:

Q: 3x Cos 2x dx

A: Simple use integration by parts method.

Q: -x sinx dx

A: Given integral

Q: 2 sin x cos8x dx

A: Given- ∫0π2sin6xcos8xdx To Find- The value of the above integral. Identity Used- The value of the…

Q: 5) (x3 cos 9x dx

A:

Q: 2e3* sin 2x dx

A:

Q: to dx 1-Sin(bx)

A:

Q: Find 6x2 sin x3 dx

A:

Q: 3 y = sin³ 2x

A: We have to use chain rule here.

Q: S cos³ 3x dx

A:

Q: 24 dx 1- cos (6x)

A:

Q: 2- Se2* sin x dx

A: ∫e2xsin(x)dxWe will use integration by parts: ∫fg'=fg-∫f'gf=sin(x),…

Q: -3x cos (5x)dx

A:

Q: 6x 3x SeoX sin e dx

A: First apply substitution method then U.V formula of integration

Q: 5. / x² sin 3x dx

A: We have to find the indefinite integral

Q: —2х Se-2x sin 3x dx

A:

Q: -2% sin 4x dx

A:

Q: Se-3x cos(5x) dx

A: