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Asked Nov 30, 2019
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Can you help me step by step please

Section 5.6 Homework-MARIA ANASTASIADIS Google Chrome
xlitemprod.pearsoncmg.com/api/v1/print/math
Print
g(b)
3.
Use the Substitution Formula, f(g(x)) g'(x) dx f(u) du where g(x)= u, to evaluate the following
g(a)
a
integrals
2
sin 2t) cos 2t dt
а.
(1
(1+sin 2t)cos 2t dt
0
3
(1 sin 2t)cos 2t dt
а.
(Simplify your answer.)
(1+sin 2t)cos 2t dt
b.
д
4
П
к 1ч
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Section 5.6 Homework-MARIA ANASTASIADIS Google Chrome xlitemprod.pearsoncmg.com/api/v1/print/math Print g(b) 3. Use the Substitution Formula, f(g(x)) g'(x) dx f(u) du where g(x)= u, to evaluate the following g(a) a integrals 2 sin 2t) cos 2t dt а. (1 (1+sin 2t)cos 2t dt 0 3 (1 sin 2t)cos 2t dt а. (Simplify your answer.) (1+sin 2t)cos 2t dt b. д 4 П к 1ч

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Expert Answer

Step 1

a)

Consider the integral,

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(1+ sin21)cos21dt 0

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Step 2

Using substitution formula,

Let

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u =1+sin (21) du 2 cos (21) dt du cos(21) dt 2 and lim0,u 1sin (2 (0)) =1 =1+1 2 4 lim t ,u = 1+sin 2

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Step 3

Therefore...

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2 u =cu (1+ sin21) cos21dt 4 2 udu 2 1+1 1u 21 1 1u 2 2

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Math

Calculus

Integration