7/23/2019 Exerccios de Clculo 2

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Lista 1 de Calculo 2

Questao 1 Calcule as seguintes integrais

(a)

x(4 + x2)10dx,

(b)

cos3send

(c)

sec2( 1

x)

x2 dx,

(d)

(x+ 1)

2x+x2dx

(e)

x2

2 +xdx

(f)

ecosxsenxdx

(g)

r3lnrdr

(h)

1

0

(x1 + 1)exdx

(i)

t3et

2

dt

(j)

xtg2xdx

(l)

(tg3x)(sexx)dx

(l)

x(secx)(tgx)dx

(m)

x3x2 + 9

dx

(n)

x2 + 1

(x2 2x+ 2)2dx

(o)

a

0

x2a2 x2dx

(p)

1 + 6x

(4x 3)(2x+ 5)dx

(q)

x2

x2 +x+ 2dx

(s)

x4 2x3 +x2 + 2x 1

x2 + 2x+ 1 dx

(t) 1

x(x2 + 4)dx

(u)

x+ 1

x dx

(v)

1

2x+ 3 +x

dx

(x)

ex

(ex 2)(e2x + 1)dx

(z)

senx

cos2x 3cosxdx