#33, 35 integral dx/Squareroot 1 - 4x^2 Integral t Squareroot 7 t^2 + 12 dt inte
ID: 3200803 • Letter: #
Question
#33, 35
integral dx/Squareroot 1 - 4x^2 Integral t Squareroot 7 t^2 + 12 dt integral 6/(1 - 2x)^3 dx integral e^sin x cos x dx integral x^2 e^-2x^3 dx integral e^x/1 + e^x dx integral sin(5/x)x^2 dx integral cos^4 3 t sin 3t dt integral x sec^2 (x^3 dx integral cos 4 theta integral 2 - sin 4 theta d theta integral sec^2 x dx/Squareroot 4 theta d theta integral sec^3 2x tan 2 x dx integral dx/e^x integral dx/Squareroot x e(2 Squareroot x) integral y/Squareroot 2y + 1 dy integral dx/1 + 16 x^2 integral x/Squareroot 4 - 5x^2 dx Squareroot x^2+1/Squareroot x^3 + 3x integral cos 2 t sin^5 2t dt integral cos 4 theta/(1 + 2 sin 4 theta)^4 d theta integral sin theta/cos^2 theta +1 d theta integral x integral 4 - x dxExplanation / Answer
34)
integration e^x -e^-x /e^x -e^-x dx
=>
integration coth(x) dx
=>
integration cosh(x)/sinh(x) dx
let u = sinh(x)
=>
du/dx = cosh(x)
=>
integration 1/u du
=>
ln(u)
=>
ln(sinh(|x|)) + C
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