Question 1: a) Find the definite integral (x + 1)(x - 1)dx -1 Answer: I = fa- b) Find the indefinite integral - 1)dx Answer: I = %3D c) Calculate the integral \2cos(t)dt Answer: %3D

Q: Evaluate the definite integral. '5 6x dx

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

Q: dx Use trigonometric substitution to solve the integral

A:

Q: Using Substitution to Evaluate a Definite Integral Use substitution to evaluate 1 x² (1+ 2x )°dx.

A:

Q: dx 2. 4tx

A:

Q: (x-7) dx 19. SJ5-4x-x2

A: Answer is following.

Q: dx V (1+ Vx)

A: Since you have asked multiple questions, according to our company guidelines we are supposed to…

Q: "/ Evaluate the integral dx x²9x² using trigonometric substitution.

A:

Q: Evaluate the definite integral: intergral sign b=1 a=0 f(x)= square root of (5x+6) times (dx)

A: ∫01​5x+6​dx let:u = 5x + 6du = 5 dx dx = du/5…

Q: d dx [T"]

A:

Q: CSCX-1

A: Multiply numerator and denominator by (cscx-1)

Q: Sin22xcos2xdx integration from -1 to 1

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Q: Find /- tan- x -dx using integration by parts. x2 ITM

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Q: ntegral of arcsin((1/2)x)

A: Given: ∫sin-1x2dx

Q: integrate: integral sign b = 2.5, a= -2, f(x)= 36(6x+5)^5 dx

A: Step 1:We have to integrate the function f(x)=36(6x+5)5 with respect to x from a=−2 to…

Q: e^2x+sin2x+(1/2x)dx Find integrals and answer in simplest form

A:

Q: Is it possible to use the reduction formula for cosine on this integral?  ∫[(1 - cos^(2)Θ) * cosΘ]…

A: Given,

Q: Hi I was wondering if you could walk me through a problem? The integral of x3*sqrt(x2+25)dx. Thanks!

A: Solving by substitute method we have