{eq}\displaystyle \int \sec 2 x \tan 2 x\ dx {/eq} Integration by Substitutions: In calculus, integration is a method of collecting all antiderivatives of a function. In the substitution method of integration, the given integral is transformed into a simple form of integral by substi...
(∫ (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+∫...
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...
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...
Answer to: Integrate: integral of (sec^2 x)/(tan^2 x + 9tan x + 20) dx. By signing up, you'll get thousands of step-by-step solutions to your...
Evaluate the integral: {eq}\displaystyle \int \sec(2t) \tan(2t) \, \mathrm{d}t {/eq}. Integrals by u-substitution: Sometimes a complicated-looking integral can be simplified. This requires using what is called u-substitution. This technique is often used when the integrand appears to con...
J2=∫01x(2−1+x2 )arctanx1+x2 dx⏟x→tanx=2∫0π4xtanx dx−∫0π4xsinxsec2x dx=−2∫0π4x dlncosx−∫0π4x dsecx=2πln28+2∫0π4lncosx dx−2π4+∫0π4secx dx=−2πln28+2G2−2π4+ln(2+1). From...
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...
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Find the integral from 0 to 1/3 of xe^(3x) dx. Find integral (2/x^4 + 6x + 5) dx + C Find the integral of 3^(-6x) dx. Find: integral of (4x^3 + 2)/(2x^4 + 4x + 3) dx. Find the integral of tan^9(x) sec^4(x) dx. ...