What is the integral of (e^{-2x})(cos x) dx ? What is the integral from 7 to 8 of \frac{(x)}{(x^2 + 6x + 13)}dx What is the antiderivative of the integral of sec^3(1 - 2x) dx? What is the antiderivative of the integral of (5x + 3)/(x^3 - 2x^2 - 3x) dx?
Write down the integral of the following 2x-3 cos x+e^x 01:23 Evaluate the following integrals : int (3 cosec^2 x-5x+sinx ) dx. 01:29 Evaluate the following integrals : int (sin x+cos x+x^(5//2))dx. 01:06Exams IIT JEE NEET UP Board Bihar Board CBSE Free Textbook Solutions...
Evaluate the integral \int [0.3-0.8] cosx-ln(9sinx)dx Evaluate the integral. (Use C for the constant of integration.) integral of (x^2 + 6 x) cos x dx Evaluate the integral: 0 pi sin(x) e cos(x) dx Evaluate the integral. \int_{0}^{5}3e^x+4 \cos...
Evaluate the indefinite integral. (Use C for the constant of integration.) \int \frac{dx}{\cos^{2}(x)\sqrt[3]{1 + \tan(x) Solve the integral using u = tan(x), ∫ 2 tan(x) sec^2 (x)dx What is the integral of cosx^3 sinx^8 dx [write cosx^3 as cosx(1-sinx^2)] ...
Evaluate the integral from 0 to pi/4 of sin^2(2x) cos^2(2x) dx. Evaluate the following integral: integral of (tan x - sec x) dx from 0 to pi/4. Evaluate the definite integral from 0 to pi/4 of (4cosx+7sinx). Evaluate the following definite integrals: a) the integral ...
∫ sinx dx = -cosx+C ∫ sec2x dx = tanx+C ∫ cosec2x dx = -cotx+C ∫ sec2x dx = tanx+C ∫ secx tanxdx = secx+C ∫ cscx cotx dx = -cscx+C ∫1/(√(1-x2))= sin-1 x + C ∫-1/(√(1-x2))= cos-1 x + C ∫1/(1+x2)= tan-1 x + C ∫-1/(1+x2)= ...
find the point of intersection (P) of the parabola and the line. 03:10View Solution Evaluate: ∫π0xsinx1+cos2xdx 04:22View Solution Evaluate the following integral:∫π0xsinx1+sinxdx 10:20View Solution Evaluate (i) int_0^(pi//4) sin x cos x dx (ii) int_0^(pi//2) (1 +...
但是是 ∀ x≥x≥1有有xsin≥≥22cos1sin2xx−=,从而,从而xxsin≥≥=−xx22cos1−x21xx22cos, 所以, 所以dxxx∫1+∞sin≥≥−∫12x+∞dxdxxx∫1+∞22cos, 由以上证明知, 由以上证明知dxxx∫1+∞22cos收敛, 但收敛, 但∫+∞12xdx发散. 故知发散. 故知dxxx∫1+∞sin发发散, 从而散,...
常用积分表（Common integral table）Common integral formula (a) containing the integral (axb+0a =) Formula 1.dxaxb+ = 1lnaxbCa++ 2. = (axbx) + 11 (formula)(1)AxbCa + + + Mu + (U = 1.)3.dxxaxb+ = formula 21 (LN) axbbaxbCa+.++ The 4.2dxxaxb+ formula (2) = 22311 (...
本 ∫ x dx ≥ ∫ 2x ∫ 2x dx ,由以上证明知文主要给出这个积分的几种巧妙计算方法. 1 1 1 +∞ +∞ +∞ +∞ sin x cos 2 x dx sin x 1 积分 ∫ x dx 的敛散性判定 0 ∫ 2 x dx 收敛, ∫ 2x 发散. 但 故知 ∫ x dx 发 1 1 1 sin x +∞ +∞ 证明:在 x = 0 点处 无...