How do I evaluate the indefinite integral $\int {tan}^{2} (x) d x$ $inttan^2(x)dx$ ?

Question

How do I evaluate the indefinite integral $\int {tan}^{2} (x) d x$ $inttan^2(x)dx$ ?

1 Answer

Related questions

How do I evaluate the indefinite integral $\int {sin}^{3} (x) \cdot {cos}^{2} (x) d x$ $intsin^3(x)*cos^2(x)dx$ ?
How do I evaluate the indefinite integral $\int {sin}^{6} (x) \cdot {cos}^{3} (x) d x$ $intsin^6(x)*cos^3(x)dx$ ?
How do I evaluate the indefinite integral $\int {cos}^{5} (x) d x$ $intcos^5(x)dx$ ?
How do I evaluate the indefinite integral $\int {sin}^{2} (2 t) d t$ $intsin^2(2t)dt$ ?
How do I evaluate the indefinite integral $\int {(1 + cos (x))}^{2} d x$ $int(1+cos(x))^2dx$ ?
How do I evaluate the indefinite integral $\int {sec}^{2} (x) \cdot tan (x) d x$ $intsec^2(x)*tan(x)dx$ ?
How do I evaluate the indefinite integral $\int {cot}^{5} (x) \cdot {sin}^{4} (x) d x$ $intcot^5(x)*sin^4(x)dx$ ?
How do I evaluate the indefinite integral $\int {({tan}^{2} (x) + {tan}^{4} (x))}^{2} d x$ $int(tan^2(x)+tan^4(x))^2dx$ ?
How do I evaluate the indefinite integral $\int x \cdot sin (x) \cdot tan (x) d x$ $intx*sin(x)*tan(x)dx$ ?
How do I evaluate the indefinite integral $\int \frac{sin (x)}{{cos}^{3} (x)} d x$ $intsin(x)/(cos^3(x))dx$ ?

Impact of this question

13944 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2014-07-30T17:34:55

$= tan x - x + c$ $=tanx-x+c$ , where $c$ $c$ is a constant

Using Trigonometric Identity, which is

${sec}^{2} x - {tan}^{2} x = 1$ $sec^2x-tan^2x=1$

${tan}^{2} x = {sec}^{2} x - 1$ $tan^2x=sec^2x-1$

Using this Trigonometric Identity in integration,

$= \int ({sec}^{2} x - 1) d x$ $=int(sec^2x-1)dx$

$= \int {sec}^{2} x d x - \int d x$ $=intsec^2xdx-intdx$

$= tan x - x + c$ $=tanx-x+c$ , where $c$ $c$ is a constant

Science

Math

Humanities

... and beyond

How do I evaluate the indefinite integral $\int {tan}^{2} (x) d x$ $inttan^2(x)dx$ ?

1 Answer

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do I evaluate the indefinite integral inttan^2(x)dx∫tan2(x)dxinttan^2(x)dx ?

1 Answer

Related questions

Impact of this question

How do I evaluate the indefinite integral $\int {tan}^{2} (x) d x$ $inttan^2(x)dx$ ?