∫e2xsinxdx 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 ...
यदि I = int e^(x) sin 2x dx, तब K के किस मान के लिए KI = e^(x) (sin 2x - 2 cos 2x) + अचर होगा
解: $$ e^{x}\sin ^{2}xdx= \frac{1}{2}(e^{x}(1- \cos 2x)dx= \frac{1}{2}(\int e^{x}dx- \int e^{x \cos 2xdx}) \\ 而 \sigmae^{x}\cos 2xdx= \int \cos 2xd(e^{x})= \cos 2x \cdot e^{x}- \int e^{x}d \cos 2x \\ = \cos 2x \cdot e^...
Answer to: Evaluate: int e sin2(x) sin(2x) dx By signing up, you'll get thousands of step-by-step solutions to your homework questions. You can...
Evaluate the integral from 0 to infinity of e^(-3x) dx Find the indefinite integral by the substitution method. \int e^{3x} dx Use integration by parts to evaluate: a) \int 2x^3 ln(x) dx b) \int 4x e^{3x} dx c) \int x sin(3x) dx ...
{2x}\sin x-2 \int \sin xde^{2x} \\ =-e^{2x}\cos x+2e^{2x}\sin x-4 \int \sin xe^{2x}dx $$ $$ 5 \int e^{2x}\sin xdx=e^{2x}(2 \sin x- \cos x) $$ $$ \int e ^ { 2 x } $$ $$ \inte^{2x}\sin xdx= \frac{e^{2x}}{5}|2 \sin x- \cos x) $...
cos.B−C2=2sin.A2 Show that int_(0)^((pi)/(2))log(sin2x)dx=-(pi)/(2)(log2) int_(0)^(1)cot^(-1)(1-x+x^(2))dx=(1)(pi)/(2)-log2(2)(pi)/(2)+log2(3)pi-log2(4)pi+log2 int_(0)^((pi)/(2))log(sin2x)dx ...
【解析】 解: $$ 原式= \int 2 \sin x \cos xe^{- \sin x}dx \\ =- \int 2 \sin xd(e^{- \sin x}) \\ =-2e^{- \sin x}\sin x+2 \int e^{- \sin x}d(\sin x) \\ =-2e^{- \sin x}\sin x-2 \int e^{- \sin x}d1- \sin x) \\ =-2 \sin xe^{- \sin...
∫e2x(sinx)dx Integration by Parts: Integration by parts is an integration technique corresponding to the product rule for derivatives. The product rule states that(f(x)g(x))′=f(x)g′(x)+g′(x)f(x).Rearranging this formula, we havef(x)g′(x)=((f(x)g(x))′...
यदि x in ((pi)/(4),(3pi)/(4))तब int(sinc - cosx)/(sqrt(1-sin 2x))e^(sin) cos x dx का मान है -