(∫ (sec)(x)+(tan)(x)dx) 相关知识点: 试题来源: 解析 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+∫...
Answer to: Evaluate the integral: integral of (sec x)(sec x + tan x) dx. By signing up, you'll get thousands of step-by-step solutions to your...
Find the integral. \int\frac{1}{x^3 - 1} dx Find the integral of (7/4 x^5 + 6)^5 x^4 dx. Find the integral of \int_{-3}^0 1+(9-x^2)^{\frac{1}{2 dx. Find the integral of (sec 3x tan 3x) dx. Find the integral: Integral_{-3}^{0} f(x) dx ...
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...
Calculate the Integral of … CLR+–×÷^√f(x)π() √3√4√n√ You can also input: •sqrt(…) •root(n, …) lnlog10lognexpexabs|x| sincostancscseccot arcsinsin-1arccoscos-1arctantan-1 arccsccsc-1arcsecsec-1arccotcot-1 ...
Find the integralint(2x-3cosx+e^x)dx 02:11 Find the integralint(2x^2-3sinx+5sqrt(x))dx 03:20 Find the integralintsecx(secx+tanx)dx 01:34 Evaluate: int (sec ^(2) x)/(cosec ^(2) x) dx 01:23 int (2-3 sin x)/(cos^(2) x) dx 02:27 The anti derivative of (sqrt(x...
Integral of sec(x)^2 by x: tan(x)+C To compute the integral of sec(x)^2 with respect to x, follow these steps: 1.Identify the integral: We want to compute the integral ∫ sec(x)^2 dx. 2.Recall the antiderivative: The antiderivative of sec(x)^2 is a well-known result. It ...
Answer to: Evaluate the integral \int 8\tan^3 x \sec x \, dx By signing up, you'll get thousands of step-by-step solutions to your homework...
This technique is often used when the integrand appears to contain a compostion of functions. When u is substituted into the integral, du should also be substituted. Answer and Explanation: The integrand in this problem {eq}\displaystyle \int \sec(2t) \tan(2t) \ \mathrm{d}t {/eq} ...
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+secxtanx. Step 2: Rewrite se...