[tex]\int\limits^\pi _0 {sinx} \, dx[/tex]

Pls find the explanation for the answer of this question..
No scam p

[tex]\int\limits^\pi _0 {sinx} \, dx[/tex]

Pls find the explanation for the answer of this question..
No scam pls…

2 thoughts on “[tex]\int\limits^\pi _0 {sinx} \, dx[/tex] <br /><br /> Pls find the explanation for the answer of this question..<br /> No scam p”

  1. Given :   [tex]\int\limits^\pi_0 {\sin x} \, dx[/tex]

    To Find :  Solve

    Solution:

    let say

     [tex]y=\int\limits^\pi_0 {\sin x} \, dx[/tex]

    on integration

     [tex]y=\left[ {-\cos x} \right]^\pi_0[/tex]

    => y  = – ( cosπ  – cos0 )

    => y =  – (-1 –  1)

    => y = 2

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  2. Topic :- Basic Maths

    [tex]\maltese\:\underline{\textsf{\textbf{AnsWer :}}}\:\maltese[/tex]

    Definite Integral

    [tex]\setlength{\unitlength}{1.0 cm}}\begin{picture}(12,4)\linethickness{3mm}\put(1,1){\line(1,0){6.8}}\end{picture}[/tex]

    [tex]\longrightarrow\:\:\sf\displaystyle \sf \int\limits_{0}^{\pi} \sin(x) \, dx \\ [/tex]

    [tex]\longrightarrow\:\:\sf\displaystyle \sf \Bigg[ – \cos(x) \Bigg]^{\pi}_{0} \\ [/tex]

    [tex]\longrightarrow\:\:\sf\displaystyle \sf \Bigg[ – \cos(\pi) – \bigg( – \cos(0) \bigg) \Bigg]\\ [/tex]

    [tex]\longrightarrow\:\:\sf\displaystyle \sf \Bigg[ – \cos(\pi) + \cos(0) \Bigg]\\ [/tex]

    [tex]\longrightarrow\:\:\sf\displaystyle \sf \Bigg[ – \cos(180^{\circ}) + \cos(0) \Bigg]\\ [/tex]

    [tex]\longrightarrow\:\:\sf\displaystyle \sf- ( – 1) + 1\\ [/tex]

    [tex]\longrightarrow\:\:\sf\displaystyle \sf 1 + 1\\ [/tex]

    [tex]\longrightarrow\: \: \underline{ \boxed{ \sf\displaystyle \sf 2}}\\ [/tex]

    [tex]\setlength{\unitlength}{1.0 cm}}\begin{picture}(12,4)\linethickness{3mm}\put(1,1){\line(1,0){6.8}}\end{picture}[/tex]

    [tex]\footnotesize \bullet\displaystyle \sf \int\limits { x}^{n} \, dx =\frac{ {x}^{n + 1} }{n + 1} + c \\\\\footnotesize\bullet\displaystyle \sf \int\limits {e}^{x} \, dx = {e}^{x} + c \\\\\footnotesize\bullet\displaystyle \sf \int\limits \frac{1}{ x } \, dx = ln(x) + c \\ \\ \footnotesize\bullet\displaystyle \sf \int\limits \sin(x) \, dx = – \cos(x) + c \\ \\ \footnotesize\bullet\displaystyle \sf \int\limits \cos(x) \, dx = \sin(x) + c \\ \\ \footnotesize\bullet\displaystyle \sf \int\limits \sec^{2} (x) \, dx = \tan(x) + c[/tex]

    [tex]\setlength{\unitlength}{1.0 cm}}\begin{picture}(12,4)\linethickness{3mm}\put(1,1){\line(1,0){6.8}}\end{picture}[/tex]

    [tex]\boxed{\boxed{\begin{minipage}{4cm}\displaystyle\circ\sf\:\int{1\:dx}=x+c\\\\\circ\sf\:\int{a\:dx}=ax+c\\\\\circ\sf\:\int{x^n\:dx}=\dfrac{x^{n+1}}{n+1}+c\\\\\circ\sf\:\int{sin\:x\:dx}=-cos\:x+c\\\\\circ\sf\:\int{cos\:x\:dx}=sin\:x+c\\\\\circ\sf\:\int{sec^2x\:dx}=tan\:x+c\\\\\circ\sf\:\int{e^x\:dx}=e^x+c\end{minipage}}}[/tex]

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