2elpha2 第一个注意到分母可以变成【3+cos(2x)】/2而正好sin(2x)dx=-dcos(2x)/2题目就转化为-∫dcos(2x)/【3+cos(2x)】 2022-01-23 12:134回复 晓之车高山老师 其实up表达的意思就是,被积函数某个地方稍有改动,对应不定积分表达式就可能有很大的变化,甚至完全不同 2022-01-24 03:072回复 QNのstar...
Integrals of Trig Functions Examples Lesson Summary Frequently Asked Questions How do you simplify trig integrals? {eq}\int cos\: x \:dx = sin\: x + c {/eq} {eq}\int sin\: x \:dx = -cos\: x + c {/eq} {eq}\int tan \:x \:dx = ln |cos\: x| + c {/eq} {...
Evaluate the integral. integral (2 sin (2 x) + sec^2 (x)) dx Evaluate the integral. integral 2 sin (2 y - 1) dy Evaluate the integral: integral ({4 sin x cos x} / {sin 2x cos 2x}) dx. Evaluate the integral. Integral of (cos x + sin x)^2 cos 2x dx. ...
Evaluate the definite integral. integral_0^pi 12 cos(x) {sin(x) + 2}^2 dx Evaluate the following indefinite integrals. (a) integral 3e^x+2 cosx dx. (b) integral sin x cos x dx. Find the integral of the given function: 1/cos(x - a) cos(x - b) ...
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...
It is used to obtain the area, volume and displacement, etc. Integral is the result of the integration. For example, the integral of {eq}\sin{x} {/eq} is {eq}-\cos{x}+C {/eq}, where {eq}C {/eq} is the integral constant....
Substitute backu=xt=x1(−cos(xt)) Simplify=−x1cos(xt) Add a constant to the solution=−x1cos(xt)+C Popular Examples Frequently Asked Questions (FAQ) What is the integral of sin(xt) ? The integral of sin(xt) is -1/x cos(xt)+C...
Let ( u_1=2x). Then ( du_1=2dx), so ( 1/2du_1=dx). Rewrite using ( u_1) and ( d)( u_2).( 1/2∫ (sin)(u_2)du_2)The integral of ( (sin)(u_2)) with respect to ( u_2) is ( -(cos)(u_2)).( 1/2(-(cos)(u_2)+C))Simplify.( -((cos)(u_2))/2...
intergral 指的是积分 ∫(cos2x)^2dx =∫(cos4x+1)/2dx =∫cos4x/2dx+x/2 =sin4x/8+x/2+C(C为常数)
Evaluate the integral ∫ \ x^2cos x ( )A. (x^3)3sin x+CB. x^2sin x+2xcos x-2sin x+C