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The Fundamental Theorem of Calculus with Solution | MATH 265A, Exams of Analytical Geometry and Calculus

Material Type: Exam; Professor: Herbekian; Class: Analytic Geo & Calc; Subject: Mathematics; University: Cuesta College; Term: Unknown 1989;

Typology: Exams

Pre 2010

Uploaded on 08/18/2009

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: Math 265A The Fundamental Theorem
of Caleulus
Use the Fundamental Theorem
of Calculus to calculate the
following
definite
integrals.
a) I:J;n *
b) f,*(**lX'-2)d'
c) I,'('.
:)' "
r\ eQ
-t[x - z)
d)
T,Y*
e)
tvf*
a)
I:J-u
*
b) f,r!-rX'*2)d*
c)
t'['.
+)'
*
d) y(*-tI"--z)
*\t) Jt ,
o
I:+.*
e)
fru
u'
a*
h) f( U-Zcosx)
dx
L**
f#"
i)
i)
Math 2654 The Fundamental Theorem
of Calculus
Use the Fundamental
Theorem
of Calculus to calculate the
following
definite
integrals.
o l,r**
tn6
g) firSe'
dx
h) f! r-2cosx)
dx
i)
l,i*
j)
f#*
pf3

Partial preview of the text

Download The Fundamental Theorem of Calculus with Solution | MATH 265A and more Exams Analytical Geometry and Calculus in PDF only on Docsity!

: Math 265A The FundamentalTheoremof Caleulus

Usethe FundamentalTheoremof Calculusto calculatethe following definiteintegrals.

a)

I:J;n

b)

f,(*lX'-2)d'

c)

I,'('.:)' "

r\ eQ

-t[x - z)

d)

T,Y*

e)tvf*

a)

I:J-u

b)

f,r!-rX'2)d

c)t'['.

+)'

d)

y(*-tI"--z)

\t) *

Jt

,

o

I:+.*

e)fru

u'

a*

h)
f(
U-Zcosx)
dx

L**

f#"

i)

i)

Math 2654 The FundamentalTheoremof Calculus

Usethe FundamentalTheorem of Calculusto calculatethe

following definiteintegrals.

o l,r**

t n 6

g)
firSe'
dx

h)

f! r-2cosx)

dx

i) l,i*

j)

f#*

, \ rl r-

"I

"

*r1'"A, =

La)

I"t[

o Ay*

l"

(x

(b)

[s)

(e)

(=

l 1

(a\

f

'*:)rr--2.)

lr x

L

Y-3.x+L

x

7/2.

{x*r)

f z

dx =

i

, l

. ' t t ' b

e | \ ' t Y

t )

.L

*v

11

;a)'

\I

kit'

7

s \ij

*-e

?

t

f-,

Lt

- x l,

tl-[*.'-r]

,?. ' I.

{ ' ,

t

(**j\rtx

[ff+

) t

x i

, l

2-

A

JS- *

r {

t 9

I

o l

r l

4l

A

JS-

fru

V

I

I

f r l

I t r *

l

t_e

l

I

f

l

l =

I

  • a

='

a

X+?

= l$.+a

L B

= tEl

lul

tv

X

+X

-l

E +al-

I

J

-Bf+ax)

strxr

  • io )1.*

, b , '

f

o{x-r)gx-a}

Lp=i

(ri

l-l

'-

1

U,.,

+Ldx

x

f L

dx

i-

u" + z0attxl

l:

Lr

- b

+ zl,"LJ-Lf-

+u^ r]

[-a

+zbuzl-

(-?)

W

l*

?-t

=f"l

-L*,.;J

RX-Torx

x

: l-zz

I

lal