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Physics
Physics
Problem
Answer the following with complete justification: a. (i) Evaluate
∫
6
x
2
tan
(
x
3
)
sec
2
(
x
3
)
d
x
.
\displaystyle \int 6x^{2}\tan\bigl(x^{3}\bigr)\sec^{2}\bigl(x^{3}\bigr)\,dx.
∫
6
x
2
tan
(
x
3
)
sec
2
(
x
3
)
d
x
.
b. (ii) Hence, find
∫
0
1
6
x
2
tan
(
x
3
)
sec
2
(
x
3
)
d
x
.
\displaystyle \int_{0}^{1} 6x^{2}\tan\bigl(x^{3}\bigr)\sec^{2}\bigl(x^{3}\bigr)\,dx.
∫
0
1
6
x
2
tan
(
x
3
)
sec
2
(
x
3
)
d
x
.
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