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Simplify, {eq}= \int e^{\sin(x)}(\sec(x)\tan(x) - x \cos(x)) dx \ \text{Apply linearity, }\ = \int e^{\sin(x)}\sec(x)\tan(x) dx - \int x...Become a member and unlock all Study Answers Start today. Try it now Create an account Ask a question Our experts...
(b) cosx, (c) sinx, (d) tanx, (e) −cosx sinx? Derivative of a Function: Using the limit definition of derivatives is very difficult in most cases. The practical way to do derivate is to know the derivative of a few simple functions (presented in tables of deriva...
first usefactorisationand theproduct ruleto simplify the limit to\lim _{x \rightarrow 0} \frac{...
Multiply and simplify: (cscx + 1)(cscx - 1) Answers · 1 2sec^x-2sec^2x sin^2x Answers · 2 Prove that 1+sin(x)-cos(x) = 2sin(x/2)cos(x/2)+sin(x/2) Answers · 2 prove (cosx-sinx)=1-2cosxsinx Answers · 1RECOMMENDED...
We can use the identity 1−sin2x=cos2x to simplify the expression: 1−sinx1+sinx=(1−sinx)(1−sinx)(1+sinx)(1−sinx)=(1−sinx)2cos2x 3. Taking the square root: √(1−sinx)2cos2x=1−sinxcosx 4. Express tanx in terms of sine and cosine: Recall that tanx=sinxcosx...
Compute the indefinite integral ∫esinx(xcosx−tanxsecx) dx. Integration By Parts: We write the integral as the sum of two integrals. We calculate each of these integrals by using the integration by parts. We add up the results and simplify. Answer and Explanation: We have {eq...
tanx + cosx D. cotx - 1 \int_{\frac{\pi}{6^{\frac{\pi}{230 \cos^2x dx. Evaluate. Perform the addition or subtraction of the following and use the fundamental identities to simplify the expression: \dfrac{1}{1 + cos(x)} + \dfrac...
If sinx - cosx = 0,0∘<x<90∘then the value of(secx+cosecx)2is: sinx - cosx = 0,0∘<x<90∘तो(secx+cosecx)2का मान है: View Solution ddx[tan−1[(secx−tanx)]= View Solution Free Ncert Solutions English Medium ...