Integrate \int \tan^{5x} dx. What is the integral of (e^x)/(e^(2x) + 1) dx? What is the integral of sin^7 x cos^5 x dx? If f(x) = integral e^x dx and f (0) = 2, then what is f(2)? a) e^2. b) e^2 - 1. c) e^2 + 1. d) e + 2. ...
16:39 int 0 to 1 (xln(x))((x+1)(x^2+1)) & a cool related integral 12:33 使用费曼的OP技术解决这个令人惊讶的棘手积分 14:05 An outrageous journey of integration int 0 to π4 arctan(cot^2(x)) 11:15 A cool integral for Apery's constant (ζ(3)) int 0 to 1 (x(1-x))...
of an integral solution using Feynman's trick 11:29 A wonderfully crazy integral【一个非常疯狂的积分】 08:02 A couple of interesting differential equations【几个有趣的微分方程】 05:21 A RIDICULOUSLY AWESOME INTEGRAL int 0 to 1 (x^2cosh(arctan(x)))sqrt(1+x^2) 11:09 A fascinating ...
Find the integral. Integral of 2cos^5(2x) sin(2x) dx. Find the integral. Integral of (sqrt(x^3 + 3))/(x^11) dx. Find the following integral: integral of x*tan^(-1)(x) dx. Find the integral. integral {40} / {1 + 25 x^2} dx ...
-(x*log(sin(2*x)^2+cos(2*x)^2+2*cos(2*x)+1)+2*%i*x*atan2(sin(2*x),cos(2*x)+1)-%i*li[2](-%e^(2*%i*x))-%i*x^2)/2+C To compute the integral of the expressionxtan(x)with respect tox, follow these steps: ...
The integral image of (x2, y2) corresponds to the summation of pixels from both (x1, y1) and (x2, y2). This implies that the summation of pixels at location (x, y) is the sum of pixels above and left of (x, y). The conversion of the integral image continues until all ...
Evaluate the integral. integral of 5 csc x dx Evaluate the integral: integral (2^{arctan 5x}) / (1 + 25 x^2) dx. Evaluate the integral. integral {x^2 + 1} / {(x^2 - 2 x + 2)^2} dx Evaluate the integral: integral of tan x ln(cos x) dx. ...
Write the solution of the differential equation:dy/dx=y/x. 02:56 Evaluate the integral: intxcos^3x^2sinx^2 dx 03:08 Evaluate the integral: intx^3 tan^4x^4sec^2x^4dx 03:44 Evaluate the integral:intdx/(7xsqrt((2x^4-4) 04:23 Perform the integration:intcos xcos 2 xcos3xdx 07...
Solution: Let, f(x) = tan–1x. Therefore, f ’(x) = df(x)/dx = d(tan–1x)/ dx = 1 / (1 + x2) Hence, the integrand is of the form: ex[f(x) + f ’(x)]. Therefore, using equation (2), we get ∫ ex{tan–1x + [1 / (1 + x2)]} dx = extan–1x + C ...
int 0 to 1 (xln(x))((x+1)(x^2+1)) & a cool related integral 12:33 使用费曼的OP技术解决这个令人惊讶的棘手积分 14:05 An outrageous journey of integration int 0 to π4 arctan(cot^2(x)) 11:15 A cool integral for Apery's constant (ζ(3)) int 0 to 1 (x(1-x))sin...