Evaluate the integral. |a cos (6 x) de = | + C

Q: Tt/2 Evaluate the integrals S cos? x sin³ x dx and Sa1 V1– cos2x dx

A: Given that: ∫cos2x.sin3xdx∫0π/21-cos2xdx

Q: A. Evaluate the following integrals: 3 | tan°x dx 1.

A:

Q: 3 Evaluate the integral c Ħ A) 1 B) 77 c) - Ť tan?xdx E)ユ-

A:

Q: 7. (" cos'e de

A:

Q: Evaluate the integral. | a cos(4 x) dæ

A: A detailed solution is given below

Q: Find the integral of ([sin(x)]^6)([cos(x)]^7)dx from x=0 to x = pi/2. a. 14/1001 b. 15/2002 16/3003…

A:

Q: Evaluate the integral. 15e cos(2x) dx

A: To evaluate the given integral

Q: Evaluate the integral n/2 sin x cos x dx

A: This integral can be solved by the general formula of integration.   Integral ( 0 to Pi/2) sin^mx *…

Q: Find the integral. cos xsin x dx

A: Given, ∫cos3x sin2x dx   We have to find the integral value

Q: Evaluate the integral 1-e-4x sin z cos 3rdr

A: According to the given information, it is required to evaluate the integral.

Q: Evaluate the integral [e2 cos(2x)dx.

A:

Q: 5. Evaluate the integral. e cos 0 sin 0 de

A:

Q: πT Evaluate the integral: S sin(3x)cos(3x) dx

A: We can solve this as follows:

Q: Obtain a formula that expresses the integral ∫cosn x dx

A:

Q: Evaluate the following Integrals 1 I. dx 1-cos x

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

Q: Compute the following integrals: sin x dx -T/2 :/3 |(cos x)(sin? x) dx -n/3

A:

Q: Evaluate the integral. (x+1) cos(6x) dæ

A:

Q: Q1/ Use Gauss-Legendre formula to evaluate the integral o e-dx withn= 3.

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Evaluate the integral. x2 cos(6 x) dx + C

A:

Q: Use the integral test to Σ cos 1/n n2 1 ך

A:

Q: Evaluate the integral from 0 to pi: ∫cos4(2t)dt

A: ∫0πcos42t dt

Q: A. Evaluate the following integrals: 1. sin 'xcos x dx

A: Given: I=∫sin7xcosxdx   ....(1)   We know that; The Power rule: ∫xndx=xn+1n+1+C ; n≠-1

Q: Evaluate the integral. x2 cos(7 x) dx +C

A: The given integral is: I=∫x2 cos(7x) dx

Q: Evaluate the integral. ∫e-θ  Cos 2θ dθ

A: Given ∫e-θ  Cos 2θ dθ

Q: evaluate the integral.

A: To evaluate the given integral.

Q: Find the integral. e4X cos 3x dx + C

A:

Q: Evaluate the integral. ∫0 π Cos 6θ dθ

A: Consider the following integral: ∫0πcos6θdθ Consider the following equation: I=∫cos6θdθ Consider the…

Q: The integral of the function cos² x. sin a dx is

A: the given expression is: ∫cos2x.sinxdx

Q: Evaluate the integral 0.8 x · In(6 sin r) dæ.

A: Let us assume: u=6sinxdu=6cosxdxcosx·dx=du6 At x=0.2, u=6sin(0.2) At x=0.8, u=6sin(0.8)

Q: Find the integral of ([sin(x)]^6){[cos(x)]^7)dx from x=0 to x = pi/2. 14/1001 15/2002 16/3003…

A: …

Q: Evaluate the following integral using the Fundamental Theorem of Calculus. 1/2 | (cos x- 4) dx -1/2…

A:

Q: Evaluate the indefinite integral.

A: To integrate

Q: Consider two integrals: (a) So sin x dx -2пл+1 (b) +1 sin ædæ. Given that n is an integer, which…

A: The objective is to check which integral is greater.

Q: Evaluate the integral. x² cos(3 x) dx =| + C

A:

Q: Evaluate the integral COS nx dx

A: To solve the integral we use integral by parts formula. From integral by parts formula we get: ∫uv…

Q: Compute the definite integral. ? 0 6ex sin(x) dx

A:

Q: Evaluate the integral.  integral cos  - 6  x  dx

A: To evaluate the integral, ∫cos-6xdx Solution: The given integral can be written as,…

Q: d) Determine the infinite integrals of the following e+2 i. ii. 2 3 sin2x dx

A: Evaluation of the integral

Q: Evaluate the following integrals.

A:

Q: Find the definite integral of: * 27 cos -w ) sin w) dw. O - 1/2 O - 1/12 О 12 2

A: The given integral is ∫π2π cos3w2 sin5w2 dw. Evaluate the above integral as follows.

Q: Evaluate the integral 10 cos(In(x)) dx, x > 0

A:

Q: Evaluate the given integral or show that it diverges. =/2 cos xdx (1 – sin x)?/3

A:

Q: Evaluate the integral of sin 6 (x) dx from 0 to Tt/2. * 5п/32 2n/17 T/32 3Tt/32

A: Given: The objective is to integrate the function sin6(x)dx from 0 to π2.

Q: Evaluate the integral. cos-1(x) d.

A: We have to evaluate I=∫cos-1(x)dx

Q: Evaluate integral S (2 sin a + 4 cos z) dæ

A:

Q: Evaluate the following integrals.

A: Since, our aim is to evaluate the integral given below:-I=∫(cos-1 x)2 dx  -(i)

Q: A. Evaluate the following integrals: | sin 'xcos xdx 1.

A:

Q: In Evaluate the integral e cose dx cos e

A:

Q: Evaluate the integral.

A: we have to evaluate the integral ∫excos(ex)dx