I=int sinx sin2x cos3x dx =(1)/(2) int [(2sinx sin2x)cos3xdx =(1)/(2)int (cosx -cos3x)cos3xdx =(1)/(4)int {(2cosx cos3x )-2cos^(2)3x}dx =(1)/(4)int [cos4x +cos2x-(1-cos6x)]dx =(1)/(4){(sin4x)/(4)+(sin2x)/(x)-x-(sin6x)/(6)}
Dsin4x4+C Submit Submit ∫cos3xdx View Solution Free Ncert Solutions English Medium NCERT Solutions NCERT Solutions for Class 12 English Medium NCERT Solutions for Class 11 English Medium NCERT Solutions for Class 10 English Medium NCERT Solutions for Class 9 English Medium ...
【解析】 解 原式$$ = \int \frac { d x } { \sin x \cos x } + \int \frac { \cos x d x } { \sin ^ { 3 } x } = 2 \int \cos c ( 2 x ) d x + \int \frac { d \sin x } { \sin ^ { 3 } x } $$ $$ - \ln | \cos c ( 2 x ) - \c...
=\int {\dfrac{sinx}{cos^3x}\,{\rm dx}=-∫ (1(cos^3x))\,( d(cosx))=-∫ (cos^(-3)x)\,( d(cosx))=cos^(-2) x2+c 相关知识点: 试题来源: 解析 原式=\int {\dfrac{sinx}{cos^3x}\,{\rm dx}=-∫ (1(cos^3x))\,( d(cosx))=-∫ (cos^(-3)x)\,( d(co...
then substitute u=g(x)⇒du=g′(x) dx ∫f(u) du Answer and Explanation: Let {eq}\displaystyle \begin{align*} I &= \int \sin^3 x \ \cos^5 x \ dx \ I &= \int \sin^3 x \ \cos^4 x \ \cos x \ dx \ I &= \int \sin^3 x \ ...Become...
Answer to: 1. Find the integral by integration by parts \int x sin(x)dx. 2. Find the integral: a) \int cos(x) sin^3 xdx b) \int sin^2(x)dx By...
Evaluate the following integrals: int(cosx)/(sqrt(4-sin^2x))dx 01:28 Evaluateint (sinxcos^3x)/(1+cos^2x) dx 02:44 Compute the following integrals: int(sin2x)/(a+bcosx)^2 dx 04:48 Evaluate : int (sinx+cos x)/(sqrt(sin2x))dx. 04:35 Find the following integrals: int cosecx...
试题来源: 解析 原式=\int {\dfrac{sinx}{cos^3x}\,{\rm dx}=-\int {\dfrac{1}{cos^3x}}\,{\rm d(cosx)}=-\int {cos^{-3}x}\,{\rm d(cosx)}=\dfrac{1}{2} cos^{-2}x+C=\dfrac{1}{2} sec^2x+C(C为实数) 反馈 收藏 ...
【题目】求积分:sinxdx= 答案 【解析】+ cos (sinxH-( -22xA-( +1-1cos2x,2 4( )x 所以原式(x+32si4x-sin2)0-3π16综上所述,答案:3π16【三角恒等式的证明方式】恒等式包括有条件恒等式和无条件恒等式两种1、无条件恒等式的证明:要认真分析等式两边三角函数式的特点、角度和关系,找...
∫sin2xcos2xdx View Solution ∫sin4xcos3xdx View Solution Doubtnut is No.1 Study App and Learning App with Instant Video Solutions for NCERT Class 6, Class 7, Class 8, Class 9, Class 10, Class 11 and Class 12, IIT JEE prep, NEET preparation and CBSE, UP Board, Bihar Board, Rajast...