Integrate the following: 1. fxsinxdx 2. fæcos2xdx 3. fe sinxdx

Q: Find fcos? x dx.

A: We have to find the integration of given function: ∫cos2 x dx We know the trigonometric identity,…

Q: 9 cosxdx

A: Given, y=∫x10+4cosxdx

Q: 3 dx 25¢16x2

A: We can evaluate the given integral by using the following formula.

Q: Calculate: fx²e³dx

A:

Q: 6x Sxe хе dx

A: Using the integration by parts, it can be written as follows. ∫udv=uv−∫vdu

Q: 20x3 dx 2. JT2+1 Vx2+1

A: Explanation of the answer is as follows

Q: b) S dx Vx

A:

Q: - 9x²-6x b) f dx x3-x2

A: Given: ∫9x2-6xx3-x2dx for integrating this we take x as common from numerator and denominator…

Q: 27t3- 1 dt

A:

Q: Evaluate. 4 10x + 1 dx 5x2 + x %3D

A: This is the definite integral, firstly integral will be calculated after that limit will put

Q: 3. Sx³ln?x dx

A:

Q: Ofind dy fort-

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Q: Evaluate xe 00

A:

Q: if g(x) = fcx)-メ+ Find %3D (5) © D.g

A: Hope the D indicate the differential of the functions.

Q: Evaluate 9x et3 dy

A: Solve by triple integration

Q: 14. Evaluate. dx xvx2-1

A:

Q: Find the following

A: Integration of the function f(x)=32x can be done with the formula of integration of a constant with…

Q: Simplify S. dx V2x-3

A:

Q: Find w, where w3 = 1 + i. i? = -1.

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Q: If we have B= (2Xyz,5XyE,312) anod shewas $ = X+y = - z.T find ⑤マ幅)マ¢

A: Find the attachment

Q: Evaluate the indefinite wntegral 3tinigas 3. xIn X

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Q: Evaluate [x³e³dx

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Q: Tow19w²+ low =0

A: Given equation is It can be written as Now, we factorize the quadratic polynomial by splitting…

Q: Integrate: x e -11x

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Q: =-2tantsect %3D sint-1 sinttl

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Q: Integrate the following 3-4x :dx 4x2-6x+e² ·S a.

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Q: ax +-b dx ax² +bx +d

A:

Q: proke that lose ch?e %3D (0nsiden

A: To prove that Cosech^2x=coth^2x-1

Q: A) Find Vx²_1) dx

A: