3)(2x-ズ) ax

Q: Find the integral of 2x4(1+x10)-1dx exactly. Show all working.

A: I = ∫2x41+x10-1dxI = ?

Q: (5tan2 elan 20 sec2 Bdß 1.

A:

Q: 30 +4) de 3e+ )

A:

Q: -s(-+)( + }) 1. dt

A:

Q: Prove without calculating the integrals explicitly that V1 + x³dx < | V1 + x²dx

A:

Q: Evaluate the integral dz 9 181- x² J81- x² 9

A: Given ∫09∫081-x2∫081-x2dzdydx

Q: Evaluate the integral of 3dx/(2x^2 + 4) from 0 to 0.2 *

A:

Q: Calculate the integral ∞∫1dxx2−6x+13.

A: Given : In the question first find the indefinite integration of f(x), then evaluate .

Q: Evaluate the integral.

A:

Q: Evaluate the integral. S- V1- xp

A: ∫un du =un+1n+1+C

Q: Evaluate the integral: */64 – a°dz .3 2 -

A:

Q: evaluate the integral using the methods covered in the text so far.

A:

Q: Evaluate the integral dydx 3. 1-X 2

A: Use polar coordinates for simplification of the given integral.

Q: Evaluate the integral. In(9 x - 8) dx =| +C %3D

A:

Q: Evaluate the integrals. ∫dx/√(21 - 4x2)

A: Given: ∫dx21-4x2 for finding this integral we take 4 out of root and convert in standard integral…

Q: Calculate the integral ∞∫−∞dxx2+4.

A:

Q: Evaluate the integral. 1 dr V4 +2

A:

Q: dr 5. 2 ?+3 2

A:

Q: S 2tanzx

A:

Q: Evaluate the integral. 9x2 - 100x - 100 dr - x3 - 100x NOTE: Fnter the er amoa on

A:

Q: ( Evaluate the integral: 64x² – 49 -dx -

A: Given∫64x2-49x3dx

Q: 2 Write ftan² x sec⁹ xdx as a sum of integrals of odd powers of secant or cosecent. Start with the…

A:

Q: | (In(5æ)) (In(5x))²dx

A: We use the by parts method ∫(ln(5x))2dx…

Q: Evaluate the integral 13t – 5| dt.

A:

Q: Evaluate the integral.

A: Consider the following integral:…

Q: Evaluate the integral ex /2e-2x – 3e2x xp-

A:

Q: 8-x² -y² :'dzdxdy

A: we have been given the integral ∫02∫04-y2∫x2+y28-x2-y2z2dzdxdy we can see that this integral form is…

Q: Evaluate the integral (2³ + 1)'/³,³dx.

A:

Q: Use any method to evaluate the integral. 8× – 8 -x -dx 8* +8-*

A: To evaluate the integral

Q: yz dxdzdy -126 -84

A:

Q: Evaluate the indefinite integral. (7z + 7 71 + -dr Jz² +1

A: Given,          ∫7x+7x2+1dx

Q: Evaluate the integral. 8 V1-t2

A: We have to evaluate the integral: ∫02281-t2dt We know the formula of integral, ∫1a2-x2dx=sin-1xa+c…

Q: Evaluate the integral sec^2xdx/√(1-4tan^2(x)).

A: Given :           ∫sec2x1 - 4tan2xdx   To evaluate the integral.

Q: Compute the approximation  of the integral -4 to 4 e^(-x^2) using mid points with 4 rectangles, you…

A:

Q: Evaluate the integral: 10 dt

A: ∫103t dt

Q: 8. S(1- sec3x)²dx

A:

Q: Evaluate the integral -4x 1 - x2 1-x2

A: to solve the given indefinite integral put,

Q: find integral of 1/(5+4cosx)

A: Given:

Q: sec 2x CSC 2%

A: Solution: Consider the given integral: Now, rewrite the integral: Let u = cos 2x

Q: Evaluate the integral ∫√(3 - 2s) ds

A:

Q: 64 1+ Va

A: Given integral, Let us start by dividing each term of numerator by denominator separately. Let us…

Q: Evaluate the integral. dx xV 49x2 - 6

A: Given that: ∫dxx49x2-6

Q: Evaluate the improper integral or state that it is divergent. dt 2 - 3t 4-

A: Given that: ∫4∞dtt2-3t

Q: Evaluate the integral. to dt 5/2 x2 (x² – 16}"-

A: Given:  ∫ x2 dxx2 -1652 =?Using Substittution Method:…

Q: Calculate the integral ∞∫0dxx2+16.

A: These are called improper integrals so in this case,…

Q: Evaluate the integral: –(9z²+7x) dr %3D (1-1)(z+1)²

A: Given :∫-(9x2+7x)(x-1)(x+1)2dx

Q: Suppose we perform the substitution .3 u=9-x in the integral

A: Given that:∫123x29-x3dx