Q2: A. Evaluate the following integrals: 1) S sint cos t dt 3 sin t+5

Q: Q:: Find the integral for the following functions: - 1) S sec x. esec x cos²x

A: To find the integration (secx×esecx/cos²x)dx

Q: Evaluate the following: | sinh (t) 2 + sin (cosh(t)) dt

A:

Q: A. Evaluate the following integrals. ´sec² 0' dx 4. tan 0

A: The integration of the integral is sec2(theta) /tan(theta).

Q: Q3) Evaluate the following integral by using Trigonometric substitutions Method. 1 dx Vx2 – 9 y

A:

Q: a) Evaluate the following integrals: eta TT/2 sin5e do tan 0 + tam30

A: ∫0π/2sin5θtanθ+tan3θdθ=substitute…

Q: Evaluate the following indefinite integrals: +3.7 4. da 6. 12 sec 0 tan 0 d0 7.

A: Explanation of the answer is as follows

Q: Evaluate the following trigonometric integrals: 1+cos 2 0 L, V4 – x2 dx Hint: Put x = 2 sin 0 and…

A: We evaluate  this integral of trigonometric ratios by using substitution method and basic…

Q: 5 sin r Question 3 (The Substitution Method for Definite Integrals). Calculate dr. (3+2 cos r)2

A: We use substitution method to solve above integration ..

Q: Use the general form of Parseval's equality to show that i sin w (sin(w +2) dw = 0. w + 2

A: To Show : Use the general form of Parseval's equality to show that  ∫-∞∞sinωωsinω + 2ω + 2dω = 0

Q: •3 p2 sin(0) dp d0 dr 0,

A: We have to evaluate the triple integral ∫03∫0π∫0πr2sinθ dφ dθ dr which is an integral in spherical…

Q: 24x2 dz 25 2 Evaluate the integral: - (A) Which trig substitution is correct for this integral? O x…

A: It is given that ∫24x225-x2dx. Let x=5sinθdx=5cos θdθ ∫24x225-x2dx=24∫25sin2θ25-25sin2θ5cosθdθ…