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\[\int\limits_{x}^{x^4}t^4dt\]
\[\int\limits_{a}^{b}x^n = \left[ \frac{x^n}{n + 1} \right]_{a}^{b} = \frac{b^n - a^n}{n + 1}\] Now you need to apply this one.
there is problem in above equation , \[x^{(n + 1)}\ instead \ of x^n \ and \ (b^{n + 1} - a^{n + 1}) \ instead \ of (b^n - a^ n)\]
so it should be (x^16-x^4)/5 right?
\[=\frac{ t^5 }{ 5 }~from x \to x^4=\frac{\left( x^4 \right)^5-x^5 }{ 5 }=\frac{ x^{20}-x^5 }{ 5 }=\frac{ x^5\left( x^{15}-1 \right) }{ 5 }\]
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says it isn't right
@surjithayer solution is correct. I added the typo in the next comment. See that.
says it isn't right
Where it says it is not correct?
?
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