1. Use the substitution method to evaluate x² S. VAI ³ + 50° dx

Q: Evaluate cos(2x) dx. Show how to do this by hand, and round the final answer to 3 decimal places.

A: ∫12cos2xdx

Q: 3. Evaluate (1+ sin x) dx.

A:

Q: MA 1. Find the following, a. f(5x2 – 6x +3)dx = OWI +2 4t %3D dt

A:

Q: S 5 sin(3x)e2cos(3r)dx

A: Solve integral by substitution method:-

Q: |cos? 10x dx

A: The given integral is ∫cos210xdx To evaluate the integral .

Q: 2TT Sin nx dx

A:

Q: 1. Find of the trigonometric function: dx y=−10x + 3 cosx

A: Derivative of Cosx is -Sinx

Q: | tan? x dx 2

A: Our Aim is to integrate ∫tan2 (x) dx-(i)

Q: B) Find and if x sin 3z and y = tan 3z dx

A:

Q: dx A. 1+cosx

A:

Q: J sin“ x dx е.

A: Let,    I = ∫sin6xdx  .....(1)  = ∫sin5x.sin x dx    Now we solve this integration by using rule of…

Q: d (sin²(x)e³*+") dx xp

A: Hello! Thank you for the question but as per our honor code, we'll able to solve only the first…

Q: Determine the graph of the cylinder x2+y2=9. Choose the correct graph of

A: According to guidelines we can solve one question.thanku

Q: 3 sin³x sec?x dx = Select one: а. b. 1 С. d. 1 1/3 1/4

A: Topic:- definite integration

Q: dy dx general Solution of :- 3+2 tan x e Sec X

A: dy/dx = e3+2tanxx

Q: 2a xsin " dx 1.

A:

Q: Find of the equation y = cosx(1+ cscx). dx

A:

Q: the range of y=/cos 2x is

A:

Q: 0.1 sinx dx.

A: ∫00.1sinxxdx   = - cosx00.1 +   lnx00.1 + c   = - cos0.1 - cos0 + ln0.1 - ln0 + c   = - cos0.1 +…