10) ²xsin²(x³) cos(x³) dx = f_₂xsin²( 2 3π a)³7+2 c) π 3π b) 2 d) 0

Q: 3. The integral of sin24x cos4x dx is a. (1/4) sin³ 4x + C b. (1/3) sin³ 4x +C c. (1/12) sin³ 4x+ C…

A:

Q: Part 1: 1 1. S *(In x)3 dx 2. Se3x cos x dx 3. S(1 + x²)e-*dx 4. So x²e*dx

A:

Q: b) 6(sin x)² + cos 2x + 1 = 0 [0,2π] I

A: Solution6 sin2x+cos 2x+1=0we know cos 2 x= 1-2 sin2xput this value in the given equation,6 sin2 x+…

Q: cos(sec-'/1+x²)= Select one: 2x a. V1+x² O b. V1+x? 1 Oc. 1+x2 d. V1+x?

A:

Q: c) y = (x-2) 3 x² (x-1)(x+5)4 [Hint: use logarithmic differentiation]

A:

Q: 3) v = C,e2x cos 3x + Ce sin 3x 2x

A:

Q: Q1: Find 1) e (3 + e6t)2 2) l {e¬3t (t + 1)²} 3) е sin 3x dx dt 4) l (3t5) 5) e (est + cos 3t)

A:

Q: 18 a Show that / (1 + sin 2zx)dx = n, for all positive integers n. b Sketch y = 1 + sin 27x, and…

A:

Q: Find L-1 {In (1 + s²) }

A:

Q: If the point A (4,3) and B(x,5) are on the circle with centre O (2,3). Find the Value of x

A:

Q: Evaluate L{e-2t sinh 3t} s - 2 s2 + 4s – 5 3 2 a) s² + 4s – 5 b) c) s2 + 4s – 5 d) s2 + 4s – 5 a 3.

A:

Q: 3) fe-2x sin 2x dx 4) J√1 + cos 4x dx

A:

Q: (a/3 d(cosx) =? 24 - sinx O A) V3/2 O B) 1/2 C) -1/2 O D) -1/3 E) T/3

A:

Q: (25) Let k and n be positive integers. Prove each of the following: sin (n2) dz = | cos (nx) dz = 7.…

A:

Q: SOLVE STEP BY STEP IN DIGITAL FORMAT yyy Ü♥¯ ¶ ☆ @ ! ! ?? !! ? ?! ¿ ¡ !? S❀ W X Х Х Х Х A * ✓✓✓ DO -…

A: We have not any digital tool .

Q: If x³y" + xy' +(x? -y=D0 x>0 ,y,=x sinx , and y3V,v. Which of the following 3 equations satisfied by…

A:

Q: Find LT of (i) e(2 cos 5t – 3 sin 5t) 3t (ii) e²ª cos? t (iii) e* sin 2t cos t

A:

Q: 1. Differentiate. a) f(x) = x43x b) g(x) = x² — e√x -

A: We need to perform differentiation.

Q: 1) [sex² 4x² - x² dx 2 dx 2 ਤੇ 3) sex² (4x+²) dx 2) 4) S X dx √4-9x² using Integration by…

A:

Q: 2x 2)/3x* 2) [3x* - 9x² +1 V9-x² dx .2 3) [ sin xcosx dx x cos.x 4) S sin² xcos 4) sin x cos x dx

A:

Q: Find Lt+1)²-e' sin² t + cos(t+1 ++ π)}.

A: Given :

Q: You are given that h (x) C = dh dx for a number c. You have to find c. = 6 sin (7x) + 5 cos(7x) 3…

A:

Q: If f(x) = cos (-x) + 3x + 2, xE [0,1], then f"(5) = %3D A) cos + 17. B) cos()+17" (Sm C) 0. D) 2. E)…

A: Solution of question as follows

Q: 故(x3+5) ex A al d Iny d in5x

A: According to our guidelines we can answer only three subparts, or first question and rest can be…

Q: Evaluate i) A (x +e* + 2) _ii) A sinh (a + bx) iii) A cosh (a + bx).

A:

Q: Solve by finding an I.F 1. xdy – ydx = (x² + y² }£x y - sin x 2. dy + -dx = 0 ......

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 4. Find d?y/dx² for the following functions: a) y = sin x? cos 2x b) y = cos (sec2 3x) c) y = x²(x³…

A: Since you have asked multiple questions, we are answering the first question for you as of now. If…

Q: b) S x² cos(2 x³)dx

A:

Q: b) You are given that g(x) dg da for a number b. You have to find b. b = -= cos(7x) 3 sin (7x) 5…

A: