Answer to: Find the indefinite integral. Integral sec^2 x tan x dx By signing up, you'll get thousands of step-by-step solutions to your homework...
Integrate: \int \ tan \ x \ sec^2 \ x dx Find the indefinite integral of \int sec \ y (\tan y - sec \ y) \ dy. Compute the integral: int tan x sin x dx. Evaluate the integral. \int \sin 2x \ln (\tan x)dx Integrate: \int \tan^{2} x \sec^{4} x dx Find the ...
Integral of sec(x)*tan(x) by x: 1/cos(x)+C To compute the integral of sec(x) * tan(x) with respect to x, follow these steps: 1.Identify the integral: We want to compute the integral 2.Recall the derivative: Recognize that the derivative of sec(x) is sec(x) * tan(x). Th...
Split the single integral into multipleintegrals. (∫ (sec)(x)dx+∫ (tan)(x)dx) The integral of ( (sec)(x)) with respect to ( x) is ( (ln)(|(sec)(x)+(tan)(x)|)). ( (ln)(|(sec)(x)+(tan)(x)|)+C+∫ (tan)(x)dx) The integral of ( (tan)(x)) with respect...
To solve the integral I=∫sec2x(secx+tanx)9/2dx, we will use the substitution t=secx+tanx. Step 1: Substitute t=secx+tanx From the identity sec2x=1+tan2x and the derivative of t: dtdx=secxtanx+sec2x=sec2x+secxtanx. Thus, we can express dx in terms of dt: dx=dtsec2x+secxta...
Using the power rule for integration, we find: I−12+1+C12+C2√t+C Step 6: Substitute back Now, we substitute backt=tanx: I=2√tanx+C Final Answer Thus, the final result of the integral is: ∫sec2x√tanxdx=2√tanx+C --- ...
{eq}\int \frac {\sec^{2} x \tan^{2} x}{\sqrt {9 - \tan^{2} x}} dx {/eq} To simplify this integral, we can use a substitution where: {eq}u = \tan...Become a member and unlock all Study Answers Try it risk-free for 30 days Try it risk-free Ask a quest...
The antiderivative of sec^2x is equal to tanx + C, where C is the integration constant. The antiderivative of a function is nothing but its integral and we know that the derivative of tanx is equal to sec2x. Therefore, the antiderivative of sec square x is tanx + C....
x-(n-2)\int\sec^{n-2}x(\sec^2x-1)\ dx=\sec^{n-2}x\tan x-(n-2)I_n+(n-2)I...
Indefinite Integral: Users must determine the given indefinite integral. For the given indefinite integral, you will use the integration substitution method and undo the substitution to obtain the desired result. Answer and Explanation:1 I=∫tan7(x)sec2(x)dx...(1) Use...