Integral of Tan 2x Formula The formula for integral of tan 2x is given by, ∫tan 2x dx = (-1/2)ln |cos 2x| + C, where C is the constant of integration. Integral of Tan 2x Proof By Substitution Method Now, that we know the integral of tan 2x, let us derive the formula for the integral of tan 2x using the substitution method.
What is the integral of tan 2x?
The formula for integral of tan 2x is given by, ∫tan 2x dx = (-1/2)ln |cos 2x| + C, where C is the constant of integration.
What is tan 2x equal to?
tan2x = sin 2x/cos 2x.
How do you integrate tan 2x 2?
0:253:38Integral of tan^2(2x) Calculus 1 Trig Integrals - YouTubeYouTubeStart of suggested clipEnd of suggested clipSo I'm gonna let that u equal the inside part of the function which is the 2x. So I'm going to startMoreSo I'm gonna let that u equal the inside part of the function which is the 2x. So I'm going to start by letting u equal to X I'm going to then take the derivative of both sides.
How do you simplify tan 2x?
0:000:45Simplify tan^2(x)/(1 + sec x) using trig identities - YouTubeYouTubeStart of suggested clipEnd of suggested clipSo we can rewrite the top as secant X minus one secant X plus 1 all over secant. X plus one theseMoreSo we can rewrite the top as secant X minus one secant X plus 1 all over secant. X plus one these cancel out and we end up with secant X oops. Minus one and that's a simplified version and that's it.
Is TANX 2 the same as tan 2x?
Note that if conventions are not clear, then when we write tanx2 we could intend tan(x2) or (tan(x))2 . So the popular practice is to write tan2x when we mean (tan(x))2 and tan(x2) when we mean tan(x2) .
How do you integrate tangent?
0:175:27Integral of tanx - YouTubeYouTubeStart of suggested clipEnd of suggested clipSo you need to know that tangent is sine divided by cosine. So now how can we integrate thisMoreSo you need to know that tangent is sine divided by cosine. So now how can we integrate this expression. We need to use a technique known as u substitution. We're going to make u equal to cosine x.
What is the derivative of tan 2 2x?
2 sec2The derivative of tan 2x is 2 sec2 (2x). Was this answer helpful?
How do you integrate tan 4x?
1:214:07Integral of tan^4x - YouTubeYouTubeStart of suggested clipEnd of suggested clipSo we can use au substitution lets make u equal to tangent X and D u will equal secant squared X DX.MoreSo we can use au substitution lets make u equal to tangent X and D u will equal secant squared X DX.