[tex]\int\limits^\pi _0 {sinx} \, dx[/tex] Pls find the explanation for the answer of this question.. No scam pls… About the author Adalyn
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 Learn More integral of 6x-5 root of 6-2x^2+xdx evaluate – Brainly.in brainly.in/question/15708198 integrate x³-1/x³+x dx – Brainly.in brainly.in/question/3017912 Integrate dx/ 3sin^2x+5cos^2x – Brainly.in brainly.in/question/9262036 Reply
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] Reply
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
Learn More
integral of 6x-5 root of 6-2x^2+xdx evaluate – Brainly.in
brainly.in/question/15708198
integrate x³-1/x³+x dx – Brainly.in
brainly.in/question/3017912
Integrate dx/ 3sin^2x+5cos^2x – Brainly.in
brainly.in/question/9262036
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]