A RIDICULOUSLY AWESOME INTEGRAL int sin(x)sinh(x) from 0 to infinity 485 1 12:33 App int 0 to 1 (xln(x))((x+1)(x^2+1)) & a cool related integral 1763 1 25:33 App 积分学中最难的问题之一:Coxeter积分 148 0 12:58 App Ramanujan's integral is ridiculous!【Ramanujan的积分太可...
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))...
Integration of Hyperbolic Functions: Techniques for integrating functions like sinh(x), cosh(x), etc. Linearity of the Integral: The principle that the integral of a sum is the sum of the integrals. Sequences and Series: For integrating functions represented as power series or when using techni...
Use the properties of logarithms and by approximating the summation as an integral, derive Stirling's approximation which is given below dU+pdVT - dS 0 = xln x. If the operator A is A = d/dx + 8x what is A^2 ? Express the following in terms of C_p, \ C_v,P,V,T, and their...
\int_{e}^{6}\frac{dx}{xln x} Evaluate the definite integral. \int^{3}_{-3} (x^{2} - 4) dx Evaluate the integral: int dfrac{e^{8x{e^{16x} + 36} dx. Evaluate the definite integral: \int_{0}^{\pi/2}(2 cos(x)+7sin(x))dx Evaluate the integral \int \frac{e...
Evaluate the integral \int 6 \cos^2 x \tan^3 x \,dx Evaluate the integral. \int \frac{4x^3}{x^4 + 7} dx Evaluate the integral. \int (ln(x)+1)e^{xln(x)} dx Evaluate the integral: int (1 - sqrt(x))2 / sqrt(x) dx. Evaluate the integral \int \frac{x}{x^2 + 1...
Find the value of the integral∫0π/2cosxcosx+sinxdx Trigonometric Integrals: Trigonometric integrals are integrals involving trigonometric functions, such assinx,cosx,tanxand so on. Such integrals are often evaluated with the help of trigonometric identiti...
(4)-13x cos 3x+19sin 3x +c (5)12x sin 2x+14cos 2x+c (6)xtan x+ln |cos x|+c (7)x ln x-x+c (8)x(ln x)^2-2xln x+2x+c (9)xarctan x-12ln(x^2+1)+c 结果一 题目 Use integration by parts to find the integral of:[Hint: In (7) write as and in (...
None of the options Evaluate the integralEvaluate the integral I=∫xln(x2dx) A. I=xln(x2)-x+C B. I=2x+C C. 12x2ln(x2)-x24+C D. I=x2-x+C E. None of the given options Evaluate the integral by substitution I=∫2xx2-1dx A...
The process of finding a function when it's derivative is given is called anti-differentiation or integration. The indefinite integral for a given functionfof a real variablexis∫f(x)dx. There are many formulas to solve integral problems. For this problem we'll use integration by parts or ...