Question

c) Calculate the Integral
\( \Large
\int_0^1 x^{3}dx
\)

Answer 1

Power rule

Answer 2

can you implement it pls Sam ?

Answer 3

\[\large \int\limits_{0}^{1}x^3dx\]
You have to add 1 to the exponent of x, and then divide the exponent number which 'already' added 1
\[\large [\frac{x^{3+1}}{4}]_0^3\]

Answer 4

sorry sam i am really bad at math, it would be much appreciate if you can do it for me.. I will give this up as a homework today..

Answer 5

to my mentor

Answer 6

where did you get confused?

Answer 7

i understand what you meaned there but i dont know how to apply it..

Answer 8

Sam i need to go now, thank you very much, if you write anything i will look when i am back see you later

Answer 9

We'll do some examples
\[\int\limits_{}^{}1~dx\]
The technique here is to multiply 'x' into '1'
you'll get
=x
then, you divide the whole thing (which is 'x') by the exponent of x
\[=\frac{x}{1}\]
then the final answer is
=x
------------------------------------------------------
\[\int\limits_{}^{}x^2dx\]
again, multiply 'x' into '\(x^2\)'
\[=x(x^2)\]
\[=x^3\]
but we're not finished yet,
you still need to divide the whole thing (which is '\(x^3\)') by the exponent of it,
\[=\frac{x^3}{3}\]
That's your final answer

Answer 10

@.Sam. thank you very much..