1/4 sec^4x-sec^2x+ln abs secx int tan^5x dx = int sin^5x/cos^5x dx =int sin^4x(cosx)^-5 sinx dx =int (1-cos^2x)^2(cosx)^-5 sinx dx =int (1-2cos^2x + cos^4x)(cosx)^-5 sinx dx =int ((cosx)^-5 -2(cosx)^-3 +(cosx)^-1) sinx dx Now integrate by substitution with u = cosx Alternatively, one could use the reduction formula for int tan^nx dx. (If one has it memorized.)

Alternatively: \(\displaystyle \int \tan^5 x \, dx = \int (\sec^2 x - 1) \tan^3 x \, dx = \int \sec^2 x \tan^3 x \, dx - \int \tan^3 x \, dx\). For the first integral ...

Let f(x) = x^5, and g(x) = tan x. We are trying to find d/dx f(g(x)). By the chain rule, this is. f' (g(x)) * g'(x). f'(x) = 5x^4, and g'(x) = sec^2 x.

DA:55PA:41MOZ Rank:97

Answered: Find the indefinite integral ∫tan5 x… | bartleby

*Response times vary by subject and question complexity. Median response time is 34 minutes and may be longer for new subjects. A: Note: The first of the above question is not properly written. So I will answer the remaining two qu... A: Given that the velocity function is v(t)=0.2t+3 0≤t ...

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.

DA:1PA:40MOZ Rank:12

integral of tan^2(x) - Integral Calculator - Symbolab

Free integral calculator - solve indefinite, definite and multiple integrals with all the steps. Type in any integral to get the solution, steps and graph

DA:91PA:57MOZ Rank:65

If the integral ∫ (5 tan x / tan x − 2)dx = x + a ln |sin ...

∫ |sin x| dx is 0∫π [cot x] dx, where [.] denotes the greatest integer function The integral is equal to: #02 The area (in sq. units) of the region The area of the region bounded by the parabola (y – 2)^2 = x – 1, the tangent to the parabola