What is the integral from 1 to x^5 of cos(t) ?

The integral from 1 to x^5 of cos(t) is sin(x^5)-sin(1)

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integral from 1 to x^5 of cos(t)

\int_{1}^{x^{5}} cos (t) d t

sin (x^{5}) - sin (1)

Solution steps

\int_{1}^{x^{5}} cos (t) d t

Use the common integral:

\int cos (t) d t = sin (t)

= [sin (t)]_{1}^{x^{5}}

Compute the boundaries:

sin (x^{5}) - sin (1)

= sin (x^{5}) - sin (1)

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What is the integral from 1 to x^5 of cos(t) ?
The integral from 1 to x^5 of cos(t) is sin(x^5)-sin(1)