# Step-by-step Solution

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## Step-by-step explanation

Problem to solve:

$\int4x\:\sec^2x\:dx$

Learn how to solve trigonometric integrals problems step by step online.

$4\int x\sec\left(x\right)^2dx$

Learn how to solve trigonometric integrals problems step by step online. Solve the trigonometric integral int(4*x*sec(x)^2)dx. The integral of a constant by a function is equal to the constant multiplied by the integral of the function. We can solve the integral \int x\sec\left(x\right)^2dx by applying integration by parts method to calculate the integral of the product of two functions, using the following formula. First, identify u and calculate du. Now, identify dv and calculate v.

$4x\tan\left(x\right)+4\ln\left|\cos\left(x\right)\right|+C_0$

### Problem Analysis

$\int4x\:\sec^2x\:dx$

### Main topic:

Trigonometric integrals

~ 0.08 seconds