Directions: Evaluate the following integrals. Show complete soiution. INTEGRALS SOLUTION 1. fx* sec{x$) dx dx 9x+36

Q: (2+3x)2 dx

A:

Q: 2x-1 dx

A: Given,

Q: 2. メ+ 2x

A: I have given an answer in step 2.

Q: dx 24x

A: The given integral is  I1=∫dx24x Solving the integral  I1=∫dx24x=∫2-4xdxLet -4x=u⇒-4dx=du⇒I1=-14∫2u…

Q: Find - 6x+1 x² +1 -dx.

A:

Q: I + a dx = 9.

A:

Q: v5-x dx

A:

Q: Evaluate the Integral 2. S V5 + 12x – 9x²dx - ANSWER: 2. (3x-2)v5+12x-9x²+9Sin¬13*- 2]+C (3х-2)

A:

Q: dx Vx + a + Vx + b

A: Given: The integral is ∫xx+a+x+bdx

Q: Integrate the function. dx XV 49x -4

A: Given: Let I=∫dxx49x2-4 To Find: To integrate the given function

Q: 2 dx 8x + 9

A: To find the value of given integration  We use some basic results of integration and substitution

Q: •B Find 2xVx- 5 dx, where B > 3.

A:

Q: Evaluate I = / a*. g³ Vx² – 3 dx

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Q: Differentiate. y = 2/x (2Vx) = (2x)-] xp

A: In the question it is asked to differentiate the function y=2x. Here, it is asked to differentiate…

Q: dx Vx + 1

A:

Q: -dx x +1 2 5.

A:

Q: (1 +Iпx) dx x3

A: The given integral is ∫1+ln xx3dx. Here, u=1+ln x  and  v=1x3.

Q: dx 4. 4 Vx + Vx3

A:

Q: Stan 3x sec 3x dx 3.

A:

Q: 1 dx Va? – 6x + 34 Find -

A:

Q: 4 dx V1- 25x2

A:

Q: x/x+ 3 dx

A:

Q: Integrate using u-substitution or 2 guys in Jail. fx sin(2x²) dx 5. (4x³-2)7 (24x²)dx

A: (4)   I=∫xsin(2x2)dx∫sinxdx=-cosx+cdxndx=nxn-1

Q: 1 + 2x dx 1

A:

Q: 9 coshx - 5 sinhx 15 %3D

A: To solve  9coshx-5sinhx=15