Integrate <mrow> 4 e tan

Ainsley Zimmerman

Ainsley Zimmerman

Answered question

2022-04-10

Integrate 4 e tan 1 ( t ) 7 ( t 2 + 1 ) with respect to t.

Answer & Explanation

agentbangsterfhes2

agentbangsterfhes2

Beginner2022-04-11Added 15 answers

Since 47 is constant with respect to t, move 47 out of the integral.

47etan-1(t)t2+1dt

Let u=tan-1(t). Then du=1t2+1dt, so (t2+1)du=dt. Rewrite using u and du.

47eudu

The integral of eueu with respect to uu is eueu.

47(eu+C)

Simplify.

47eu+C

Replace all occurrences of u with tan-1(t).

47etan-1(t)+C

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